International Journal of Mathematics and Mathematical Sciences
http://www.hindawi.com
The latest articles from Hindawi Publishing Corporation
© 2014 , Hindawi Publishing Corporation . All rights reserved.

Inverse Free Iterative Methods for Nonlinear IllPosed Operator Equations
Thu, 17 Apr 2014 06:34:15 +0000
http://www.hindawi.com/journals/ijmms/2014/754154/
We present a new iterative method which does not involve inversion of the operators for obtaining an approximate solution for the nonlinear
illposed operator equation . The proposed method is a modified form of Tikhonov gradient (TIGRA) method considered by Ramlau (2003). The regularization parameter is chosen according to the balancing principle considered by Pereverzev and Schock (2005). The error estimate is derived under a general source condition and is of optimal order. Some numerical examples involving integral equations are also given in this paper.
Ioannis K. Argyros, Santhosh George, and P. Jidesh
Copyright © 2014 Ioannis K. Argyros et al. All rights reserved.

Statistical Summability through de la ValléePoussin Mean in Probabilistic Normed Spaces
Wed, 16 Apr 2014 06:15:27 +0000
http://www.hindawi.com/journals/ijmms/2014/674159/
Two concepts—one of statistical convergence and the other of de la ValléePoussin mean—play an important role in recent research on summability theory. In this work we define a new type of summability methods and statistical completeness involving the ideas of de la ValléePoussin mean and statistical convergence in the framework of probabilistic normed spaces.
Ayhan Esi
Copyright © 2014 Ayhan Esi. All rights reserved.

On 3Dimensional Contact Metric Generalized Space Forms
Tue, 15 Apr 2014 00:00:00 +0000
http://www.hindawi.com/journals/ijmms/2014/797162/
The present paper deals with a study of 3dimensional contact metric generalized space forms. We obtained necessary and sufficient condition for a 3dimensional contact metric generalized space form with to be of constant curvature. We also obtained some conditions of such space forms to be pseudosymmetric and projectively flat, respectively.
D. G. Prakasha, Shyamal Kumar Hui, and Kakasab Mirji
Copyright © 2014 D. G. Prakasha et al. All rights reserved.

Hessian Geometry on Lagrange Spaces
Mon, 14 Apr 2014 09:42:51 +0000
http://www.hindawi.com/journals/ijmms/2014/793473/
We extend the correspondence between Hessian and Kähler metrics and curvatures to Lagrange spaces.
Izu Vaisman
Copyright © 2014 Izu Vaisman. All rights reserved.

Hypersurfaces with Two Distinct ParaBlaschke Eigenvalues in
Mon, 14 Apr 2014 09:18:58 +0000
http://www.hindawi.com/journals/ijmms/2014/398746/
Let be an dimensional immersed hypersurface without umbilical points and with vanishing Möbius form in a unit sphere , and let and be the Blaschke tensor and the Möbius second fundamental form of , respectively. We define a symmetric tensor which is called the paraBlaschke tensor of , where is a constant. An eigenvalue of the paraBlaschke tensor is called a paraBlaschke eigenvalue of . The aim of this paper is to classify the oriented hypersurfaces in with two distinct paraBlaschke eigenvalues under some rigidity conditions.
Junfeng Chen and Shichang Shu
Copyright © 2014 Junfeng Chen and Shichang Shu. All rights reserved.

Optimal Policies for Deteriorating Items with Maximum Lifetime and TwoLevel Trade Credits
Thu, 10 Apr 2014 12:45:34 +0000
http://www.hindawi.com/journals/ijmms/2014/365929/
The retailer’s optimal policies are developed when the product has fixed lifetime and also the units in inventory are subject to deterioration at a constant rate. This study will be mainly applicable to pharmaceuticals, drugs, beverages, and dairy products, and so forth. To boost the demand, offering a credit period is considered as the promotional tool. The retailer passes credit period to the buyers which is received from the supplier. The objective is to maximize the total profit per unit time of the retailer with respect to optimal retail price of an item and purchase quantity during the optimal cycle time. The concavity of the total profit per unit time is exhibited using inventory parametric values. The sensitivity analysis is carried out to advise the decision maker to keep an eye on critical inventory parameters.
Nita H. Shah, Dushyantkumar G. Patel, and Digeshkumar B. Shah
Copyright © 2014 Nita H. Shah et al. All rights reserved.

Cauchy and Poisson Integral of the Convolutor in Beurling Ultradistributions of Growth
Wed, 09 Apr 2014 12:19:48 +0000
http://www.hindawi.com/journals/ijmms/2014/926790/
Let be a regular cone in and let be a tubular radial domain. Let be the convolutor in Beurling ultradistributions of growth corresponding to . We define the Cauchy and Poisson integral of and show that the Cauchy integral of is analytic in and satisfies a growth property. We represent as the boundary value of a finite sum of suitable analytic functions in tubes by means of the Cauchy integral representation of . Also we show that the Poisson integral of corresponding to attains as boundary value in the distributional sense.
Byung Keun Sohn
Copyright © 2014 Byung Keun Sohn. All rights reserved.

Approximation of Signals (Functions) by Trigonometric Polynomials in Norm
Wed, 09 Apr 2014 11:56:53 +0000
http://www.hindawi.com/journals/ijmms/2014/267383/
Mittal and Rhoades (1999, 2000) and Mittal et al. (2011) have initiated a study of error estimates through
trigonometricFourier approximation (tfa) for the situations in which the summability matrix does not have monotone rows. In this paper, the first author continues the work in the direction for to be a matrix. We extend two theorems on summability matrix of Deger et al. (2012) where they have extended two theorems of Chandra (2002) using method obtained by deleting a set of rows from Cesàro matrix . Our theorems also generalize two theorems of Leindler (2005) to matrix which in turn generalize the result of Chandra (2002) and Quade (1937).
M. L. Mittal and Mradul Veer Singh
Copyright © 2014 M. L. Mittal and Mradul Veer Singh. All rights reserved.

Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming
Tue, 08 Apr 2014 07:31:07 +0000
http://www.hindawi.com/journals/ijmms/2014/706585/
The paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. Our main results extend, improve, and generalize the results due to several authors. Some examples are also given to demonstrate the advantage of our results over existing one in the literature.
Deepmala
Copyright © 2014 Deepmala. All rights reserved.

SetValued HardyRogers Type Contraction in 0Complete Partial Metric Spaces
Tue, 08 Apr 2014 00:00:00 +0000
http://www.hindawi.com/journals/ijmms/2014/652925/
In this paper we introduce setvalued HardyRogers type contraction in 0complete partial metric spaces and prove the corresponding theorem of fixed point. Our results generalize, extend, and unify several known results, in particular the recent Nadler’s fixed point theorem in the context of complete partial metric spaces established by Aydi et al. (2012). As an application of our results, a homotopy theorem for such mappings is derived. Also, some examples are included which show that our generalization is proper.
Satish Shukla, Stojan Radenović, and Calogero Vetro
Copyright © 2014 Satish Shukla et al. All rights reserved.

Coproximinality in the Space of Bounded Functions
Mon, 07 Apr 2014 12:09:44 +0000
http://www.hindawi.com/journals/ijmms/2014/196391/
As a counterpart to best approximation in Banach spaces, the best coapproximation was introduced by Franchetti and Furi
(1972). In this paper, we shall consider the relation between coproximinality of a nonempty subset of a Banach space and of in .
Eyad AbuSirhan and Zuhier Altawallbeh
Copyright © 2014 Eyad AbuSirhan and Zuhier Altawallbeh. All rights reserved.

Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function
Sun, 06 Apr 2014 13:29:13 +0000
http://www.hindawi.com/journals/ijmms/2014/260198/
By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwichtype results are also obtained.
K. ALShaqsi
Copyright © 2014 K. ALShaqsi. All rights reserved.

Retracted: Partial Sums of Functions of Bounded Turning
Thu, 03 Apr 2014 15:03:52 +0000
http://www.hindawi.com/journals/ijmms/2014/128137/
International Journal of Mathematics and Mathematical Sciences
Copyright © 2014 International Journal of Mathematics and Mathematical Sciences. All rights reserved.

A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting
Thu, 03 Apr 2014 13:35:17 +0000
http://www.hindawi.com/journals/ijmms/2014/195765/
We investigate the estimation of the derivatives of a regression function in the nonparametric regression model with random design. New wavelet estimators are developed. Their performances are evaluated via the mean integrated squared error. Fast rates of convergence are obtained for a wide class of unknown functions.
Christophe Chesneau
Copyright © 2014 Christophe Chesneau. All rights reserved.

On the Zweier Sequence Spaces of Fuzzy Numbers
Thu, 03 Apr 2014 07:01:56 +0000
http://www.hindawi.com/journals/ijmms/2014/439169/
It was given a prototype constructing a new sequence space of fuzzy numbers by means of the matrix domain of a particular limitation method. That is we have constructed the Zweier sequence spaces of fuzzy numbers , , and consisting of all sequences such that in the spaces , , and , respectively. Also, we prove that , , and are linearly isomorphic to the spaces , , and , respectively. Additionally, the , , and duals of the spaces , , and have been computed. Furthermore, two theorems concerning matrix map have been given.
Mehmet Şengönül
Copyright © 2014 Mehmet Şengönül. All rights reserved.

On the Structures of Abelian Regular Rings
Tue, 01 Apr 2014 08:48:33 +0000
http://www.hindawi.com/journals/ijmms/2014/842313/
Assume that is an Abelian ring. In this paper, we characterize the structure of whenever is regular. It is also proved that an Abelian regular ring is isomorphic to the subdirect sum of some metadivision rings.
Jianwei Lu and Liguo He
Copyright © 2014 Jianwei Lu and Liguo He. All rights reserved.

A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
Thu, 13 Mar 2014 09:59:01 +0000
http://www.hindawi.com/journals/ijmms/2014/160579/
We provide a new proof for the description of holomorphic and biholomorphic flows on multiply connected domains in the complex plane. In contrast to the original proof of Heins (1941) we do this by the means of operator theory and by utilizing the techniques of universal coverings of the underlying domains of holomorphic flows and their liftings on the corresponding universal coverings.
F. Jafari, Z. Słodkowski, and T. Tonev
Copyright © 2014 F. Jafari et al. All rights reserved.

Jónsson and HS Modules over Commutative Rings
Wed, 12 Mar 2014 06:44:56 +0000
http://www.hindawi.com/journals/ijmms/2014/120907/
Let be a commutative ring with identity and let be an infinite unitary module. (Unless indicated otherwise, all rings are commutative with identity 1≠0 and all modules are unitary.) Then is called a Jónsson module provided every proper submodule of has smaller cardinality than . Dually, is said to be homomorphically smaller (HS for short) if for every nonzero submodule of . In this survey paper, we bring the reader up to speed on current research on these structures by presenting the principal results on Jónsson and HS modules. We conclude the paper with several open problems.
Greg Oman
Copyright © 2014 Greg Oman. All rights reserved.

The BurkillCesari Integral on Spaces of Absolutely Continuous Games
Mon, 10 Mar 2014 08:56:24 +0000
http://www.hindawi.com/journals/ijmms/2014/659814/
We prove that the BurkillCesari integral is a value on a subspace of and then discuss its continuity with respect to both the and the Lipschitz norm. We provide an example of value on a subspace of strictly containing as well as an existence result of a Lipschitz continuous value, different from Aumann and Shapley’s one, on a subspace of .
F. Centrone and A. Martellotti
Copyright © 2014 F. Centrone and A. Martellotti. All rights reserved.

Some New RiemannLiouville Fractional Integral Inequalities
Mon, 10 Mar 2014 07:41:38 +0000
http://www.hindawi.com/journals/ijmms/2014/869434/
In this paper, some new fractional integral inequalities are established.
Jessada Tariboon, Sotiris K. Ntouyas, and Weerawat Sudsutad
Copyright © 2014 Jessada Tariboon et al. All rights reserved.

Optimal Control Problem of Treatment for Obesity in a Closed Population
Wed, 26 Feb 2014 15:48:50 +0000
http://www.hindawi.com/journals/ijmms/2014/273037/
Variety of intervention programs for controlling the obesity epidemic has been done worldwide. However, it is still not yet available a scientific tool to measure the effectiveness of those programs. This is due to the difficulty in parameterizing the human interaction and transition process of obesity. A dynamical model for simulating the interaction between healthy people, overweight people, and obese people in a randomly mixed population is discussed in here. Two scenarios of intervention programs were implemented in the model, dietary program for overweight people with healthy life campaign and treatment program for obese people. Assuming all control rates are constant, disease free equilibrium point, endemic equilibrium point, and basic reproductive ratio () as the epidemic indicator were shown analytically. We find that the disease free equilibrium point is locally asymptotical stable if and only if . From sensitivity analysis of , we obtain that larger rate of dietary program and treatment program will reduce significantly. With control rates are continuous in time, an optimal control approach was applied into the model to find the best way to minimize the number of overweight and obese people. Some numerical analysis and simulations for optimal control of the intervention were shown to support the analytical results.
D. Aldila, N. Rarasati, N. Nuraini, and E. Soewono
Copyright © 2014 D. Aldila et al. All rights reserved.

Algebras Associated with Hilbert Quad Modules of Finite Type
Thu, 30 Jan 2014 10:15:16 +0000
http://www.hindawi.com/journals/ijmms/2014/952068/
A Hilbert quad module of finite type has a multistructure of
Hilbert bimodules with two finite bases. We will construct a algebra
from a Hilbert quad module of finite type and prove its universality subject
to certain relations among generators. Some examples of the algebras from
Hilbert quad modules of finite type will be presented.
Kengo Matsumoto
Copyright © 2014 Kengo Matsumoto. All rights reserved.

The Height of a Class in the Cohomology Ring of Polygon Spaces
Thu, 26 Dec 2013 14:56:10 +0000
http://www.hindawi.com/journals/ijmms/2013/305926/
Let be the configuration space of planar gons having side lengths and modulo isometry group. For generic , the cohomology ring has a form where is the first StiefelWhitney class of a certain regular cover and the ideal is in general big. For generic , we determine the number such that but .
Yasuhiko Kamiyama and Kazufumi Kimoto
Copyright © 2013 Yasuhiko Kamiyama and Kazufumi Kimoto. All rights reserved.

A Solution to the Completion Problem for QuasiPseudometric Spaces
Thu, 26 Dec 2013 14:03:18 +0000
http://www.hindawi.com/journals/ijmms/2013/278381/
The different notions of Cauchy sequence and completeness proposed in the literature for quasipseudometric spaces do not provide a satisfactory theory of completeness and completion for all quasipseudometric spaces. In this paper, we introduce a notion of completeness which is classical in the sense that it is made up of equivalence classes of Cauchy sequences and constructs a completion for any given quasipseudometric space. This new completion theory extends the existing completion theory for metric spaces and satisfies the requirements posed by Doitchinov for a nice theory of completeness.
Athanasios Andrikopoulos
Copyright © 2013 Athanasios Andrikopoulos. All rights reserved.

Dimension Result for the Polynomial Algebra as a Module over the Steenrod Algebra
Thu, 19 Dec 2013 15:36:47 +0000
http://www.hindawi.com/journals/ijmms/2013/150704/
For let be the polynomial algebra in variables of degree one, over the field of two elements. The mod2 Steenrod algebra acts on according to wellknown rules. Let denote the image of the action of the positively graded part of A major problem is that of determining a basis for the quotient vector space Both and are graded where denotes the set of homogeneous polynomials of degree A spike of degree is a monomial of the form where for each In this paper we show that if and can be expressed in the form with then where is the number of spikes of degree
Mbakiso Fix Mothebe
Copyright © 2013 Mbakiso Fix Mothebe. All rights reserved.

Characterization of Banach Lattices in Terms of QuasiInterior Points
Wed, 27 Nov 2013 15:17:17 +0000
http://www.hindawi.com/journals/ijmms/2013/507482/
In terms of quasiinterior points, criteria that a Banach lattice has order continuous norm or is an space with a unit are given. For example, if is Dedekind complete and has a weak order unit, then has order continuous norm if and only if the set of quasiinterior points of coincides with the set of weak order units of ; a Banach lattice is an space with a unit if and only if the set of all quasiinterior points of coincides with the set . Analogous questions are considered for the case of an ordered Banach space with a cone . Moreover, it is shown that every nonzero point of a cone is quasiinterior if and only if . We also study various properties of a cone ; in particular, the conditions for which the relation with implies that is not a quasiinterior point are considered.
Egor A. Alekhno
Copyright © 2013 Egor A. Alekhno. All rights reserved.

Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized Univex Functions
Wed, 20 Nov 2013 09:13:54 +0000
http://www.hindawi.com/journals/ijmms/2013/284046/
We establish properly efficient necessary and sufficient optimality conditions for multiobjective fractional programming involving nonsmooth generalized univex functions. Utilizing the necessary optimality conditions, we formulate the parametric dual model and establish some duality results in the framework of generalized univex functions.
JenChwan Liu and ChunYu Liu
Copyright © 2013 JenChwan Liu and ChunYu Liu. All rights reserved.

FourPoint Ary Interpolating Subdivision Schemes
Thu, 14 Nov 2013 08:25:40 +0000
http://www.hindawi.com/journals/ijmms/2013/893414/
We present an efficient and simple algorithm to generate 4point nary interpolating schemes. Our algorithm is based on three simple steps: second divided differences, determination of position of vertices by using second divided differences, and computation of new vertices. It is observed that 4point nary interpolating schemes generated by completely different frameworks (i.e., Lagrange interpolant and wavelet theory) can also be generated by the proposed algorithm. Furthermore, we have discussed continuity, Hölder regularity, degree of polynomial generation, polynomial reproduction, and approximation order of the schemes.
Ghulam Mustafa and Robina Bashir
Copyright © 2013 Ghulam Mustafa and Robina Bashir. All rights reserved.

Left Baire1 Compositors and Continuous Functions
Wed, 06 Nov 2013 14:36:08 +0000
http://www.hindawi.com/journals/ijmms/2013/878253/
We showed that the class of left Baire1 compositors
is precisely the class of continuous functions. This answers a characterization problem posed in the work by Zhao (2007, page 550) and settles in the affirmative
the conjecture in the work by Fenecios and Cabral (2012, page 43). Moreover, based on the above result
we provide a new proof that the class of functions where is the class of all positive continuous functions and is the class of all positive constants as defined in the work by Bakowska and Pawlak (2010) is exactly the class of all continuous functions.
Jonald P. Fenecios and Emmanuel A. Cabral
Copyright © 2013 Jonald P. Fenecios and Emmanuel A. Cabral. All rights reserved.

Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces
Thu, 31 Oct 2013 15:34:28 +0000
http://www.hindawi.com/journals/ijmms/2013/567094/
We have proven an existence theorem concerning the
existence of solutions for a functional evolution inclusion governed by sweeping
process with closed convex sets depending on time and state and with a noncompact nonconvex perturbation in Banach spaces. This work extends some
recent existence theorems concerning sweeping processes from Hilbert spaces
setting to Banach spaces setting. Moreover, it improves some recent existence
results for sweeping processes in Banach spaces.
F. Aladsani and A. G. Ibrahim
Copyright © 2013 F. Aladsani and A. G. Ibrahim. All rights reserved.