International Journal of Mathematics and Mathematical Sciences
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© 2015 , Hindawi Publishing Corporation . All rights reserved.

PSModules over Ore Extensions and Skew Generalized Power Series Rings
Mon, 23 Mar 2015 13:18:24 +0000
http://www.hindawi.com/journals/ijmms/2015/879129/
A right module is called a PSmodule if its socle, , is projective. We investigate PSmodules over Ore extension and skew generalized power series extension. Let be an associative ring with identity, a unitary right module, Ore extension, a right module, a strictly ordered additive monoid, a monoid homomorphism, the skew generalized power series ring, and the skew generalized power series module. Then, under some certain conditions, we prove the following: (1) If is a right PSmodule, then is a right PSmodule. (2) If is a right PSmodule, then is a right PSmodule.
Refaat M. Salem, Mohamed A. Farahat, and Hanan AbdElmalk
Copyright © 2015 Refaat M. Salem et al. All rights reserved.

On the Version of the SchwabBorchardt Mean II
Mon, 16 Mar 2015 16:22:49 +0000
http://www.hindawi.com/journals/ijmms/2015/351742/
This paper deals with the version of the SchwabBorchardt mean. Lower and upper bounds for this mean, expressed in terms of the weighted geometric and arithmetic means of its variables, are obtained. Applications to four bivariate means, introduced earlier by the author of this paper, are included.
Edward Neuman
Copyright © 2015 Edward Neuman. All rights reserved.

Quantum Product of Symmetric Functions
Wed, 11 Mar 2015 14:30:10 +0000
http://www.hindawi.com/journals/ijmms/2015/476926/
We provide an explicit description of the quantum product of multisymmetric functions using the elementary multisymmetric functions introduced by Vaccarino.
Rafael Díaz and Eddy Pariguan
Copyright © 2015 Rafael Díaz and Eddy Pariguan. All rights reserved.

Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces
Thu, 05 Mar 2015 11:50:38 +0000
http://www.hindawi.com/journals/ijmms/2015/368204/
We prove strong and Δconvergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using Siteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several wellknown results in Banach spaces as well as CAT(0) spaces.
Jong Kyu Kim, Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, and Rajlaxmi Gupta
Copyright © 2015 Jong Kyu Kim et al. All rights reserved.

Introduction to Neutrosophic BCI/BCKAlgebras
Tue, 03 Mar 2015 08:42:06 +0000
http://www.hindawi.com/journals/ijmms/2015/370267/
We introduce the concept of neutrosophic BCI/BCKalgebras. Elementary properties of neutrosophic BCI/BCK algebras are presented.
A. A. A. Agboola and B. Davvaz
Copyright © 2015 A. A. A. Agboola and B. Davvaz. All rights reserved.

A Note on Isomorphism Theorems for Semigroups of OrderPreserving Transformations with Restricted Range
Thu, 19 Feb 2015 06:54:50 +0000
http://www.hindawi.com/journals/ijmms/2015/187026/
Finding necessary and sufficient conditions for isomorphism between two semigroups of orderpreserving transformations over an infinite domain with restricted range was an open problem. In this paper, we show a proof strategy to answer that question.
Phichet Jitjankarn and Thitarie Rungratgasame
Copyright © 2015 Phichet Jitjankarn and Thitarie Rungratgasame. All rights reserved.

Solving the Linear 1D Thermoelasticity Equations with Pure Delay
Wed, 04 Feb 2015 08:24:20 +0000
http://www.hindawi.com/journals/ijmms/2015/479267/
We propose a system of partial differential equations with a single constant delay describing the behavior of a onedimensional thermoelastic solid occupying a bounded interval of . For an initialboundary value problem associated with this system, we prove a wellposedness result in a certain topology under appropriate regularity conditions on the data. Further, we show the solution of our delayed model to converge to the solution of the classical equations of thermoelasticity as . Finally, we deduce an explicit solution representation for the delay problem.
Denys Ya. Khusainov and Michael Pokojovy
Copyright © 2015 Denys Ya. Khusainov and Michael Pokojovy. All rights reserved.

Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions
Tue, 20 Jan 2015 06:51:55 +0000
http://www.hindawi.com/journals/ijmms/2015/190723/
Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory.
Daya K. Nagar, Raúl Alejandro MoránVásquez, and Arjun K. Gupta
Copyright © 2015 Daya K. Nagar et al. All rights reserved.

Common Fixed Points of Locally Contractive Mappings in Multiplicative Metric Spaces with Application
Mon, 12 Jan 2015 12:03:30 +0000
http://www.hindawi.com/journals/ijmms/2015/218683/
The aim of this paper is to present common fixed point results
of quasiweak commutative mappings on a closed ball in the framework of
multiplicative metric spaces. Example is presented to support the result proved
herein. We also study sufficient conditions for the existence of a common
solution of multiplicative boundary value problem. Our results extend and
improve various recent results in the existing literature.
Mujahid Abbas, Bashir Ali, and Yusuf I. Suleiman
Copyright © 2015 Mujahid Abbas et al. All rights reserved.

Retracted: Some Properties of Fuzzy Quasimetric Spaces
Thu, 08 Jan 2015 11:14:40 +0000
http://www.hindawi.com/journals/ijmms/2015/382903/
International Journal of Mathematics and Mathematical Sciences
Copyright © 2015 International Journal of Mathematics and Mathematical Sciences. All rights reserved.

On the Projective Description of Weighted (LF)Spaces of Continuous Functions
Wed, 19 Nov 2014 00:00:00 +0000
http://www.hindawi.com/journals/ijmms/2014/809584/
We solve the problem of the topological or algebraic description of countable inductive limits of weighted Fréchet spaces of continuous functions on a cone. This problem is investigated for two families of weights defined by positively homogeneous functions. Weights of this form play the important role in Fourier analysis.
Catherine V. Komarchuk and Sergej N. Melikhov
Copyright © 2014 Catherine V. Komarchuk and Sergej N. Melikhov. All rights reserved.

ComplexityBased Modeling of Scientific Capital: An Outline of Mathematical Theory
Thu, 30 Oct 2014 11:17:56 +0000
http://www.hindawi.com/journals/ijmms/2014/785058/
The paper intends to contribute to a better understanding of the phenomenon of scientific capital. Scientific capital is a wellknown concept for
measuring and assessing the accumulated recognition and the specific scientific power. The concept of scientific capital developed by Bourdieu is used in international social science research to explain a set of scholarly properties and practices. Mathematical modeling is applied as a lens through which the scientific capital is addressed. The principal contribution of this paper is an axiomatic characterization of scientific capital in terms of natural axioms. The application of the axiomatic method to scientific capital reveals novel insights into problem still not covered by mathematical modeling. Proposed model embraces the interrelations between separate sociological variables, providing a unified sociological view of science. Suggested microvariational principle is based upon postulate, which affirms that (under suitable conditions) the observed state of the agent in scientific field maximizes scientific capital. Its value can be roughly imagined as a volume of social differences. According to the considered macrovariational principle, the actual state of scientific field makes socalled energy functional (which is associated with the distribution of scientific capital) minimal.
Yurij L. Katchanov and Natalia A. Shmatko
Copyright © 2014 Yurij L. Katchanov and Natalia A. Shmatko. All rights reserved.

Some Condition for Scalar and Vector Measure Games to Be Lipschitz
Wed, 01 Oct 2014 07:53:11 +0000
http://www.hindawi.com/journals/ijmms/2014/849685/
We provide a characterization for vector measure games in , with vector of nonatomic probability measures, analogous to the one of Tauman for games in , and also provide a necessary and sufficient condition for a particular class of vector measure games to belong to .
F. Centrone and A. Martellotti
Copyright © 2014 F. Centrone and A. Martellotti. All rights reserved.

Erratum to “The Real and Complex Hermitian Solutions to a System of Quaternion Matrix Equations with Applications”
Tue, 30 Sep 2014 12:14:47 +0000
http://www.hindawi.com/journals/ijmms/2014/151753/
ShaoWen Yu
Copyright © 2014 ShaoWen Yu. All rights reserved.

On Maps of Period 2 on Prime and Semiprime Rings
Mon, 22 Sep 2014 08:47:39 +0000
http://www.hindawi.com/journals/ijmms/2014/140790/
A map f of the ring R into itself is of period 2 if for all ; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized derivations of period 2 on prime and semiprime rings.
H. E. Bell and M. N. Daif
Copyright © 2014 H. E. Bell and M. N. Daif. All rights reserved.

When an Extension of Nagata Rings Has Only Finitely Many Intermediate Rings, Each of Those Is a Nagata Ring
Tue, 02 Sep 2014 11:24:08 +0000
http://www.hindawi.com/journals/ijmms/2014/315919/
Let be an extension of commutative rings, with X an indeterminate, such that the extension of Nagata rings has FIP (i.e., has only finitely many subalgebras). Then, the number of subalgebras of equals the number of Rsubalgebras of S. In fact, the function from the set of Rsubalgebras of S to the set of subalgebras of given by is an orderisomorphism.
David E. Dobbs, Gabriel Picavet, and Martine PicavetL’Hermitte
Copyright © 2014 David E. Dobbs et al. All rights reserved.

Interest of Boundary Kernel Density Techniques in Evaluating an Approximation Error of Queueing Systems Characteristics
Thu, 14 Aug 2014 09:06:09 +0000
http://www.hindawi.com/journals/ijmms/2014/871357/
We show the interest of nonparametric methods taking into account the boundary correction techniques for a numerical evaluation of an approximation error between the stationary distributions of and queueing systems, when the density function of the general arrivals law in the system is unknown and defined on a bounded support. To compute this error, we use two kinds of norms: the norm and the weight norm. Numerical examples based on simulation studies are presented for the two cases of considered norms. A comparative study of the results has been provided.
Aïcha Bareche and Djamil Aïssani
Copyright © 2014 Aïcha Bareche and Djamil Aïssani. All rights reserved.

Solving Fuzzy Multiproduct Aggregate Production Planning Problems Based on Extension Principle
Sun, 03 Aug 2014 10:42:36 +0000
http://www.hindawi.com/journals/ijmms/2014/207839/
Aggregate production planning (APP) plays a critical role in supply chain management (SCM). This paper investigates multiproduct, multiperiod APP problems with several distinct types of fuzzy uncertainties. In contrast to the existing studies, the modelling in this work conserves the fuzziness such that the obtained APP is more effective. Based on Zadeh’s extension principle, the results obtained are fuzzy solutions described by membership functions, in contrast to results from previous studies. A pair of twolevel parametric mathematical programs is formulated to calculate the lower and upper bounds of the optimum fuzzy performance measure. The membership function of the fuzzy total cost is constructed by enumerating various possibility levels. A case studied in previous research is investigated to demonstrate the validity of the proposed model and solution procedure. Because the optimal objective value and associated decision variables are expressed using fuzzy numbers rather than crisp values, the proposed approach is able to represent APP systems more accurately, and therefore, the results obtained can provide decision makers with more effective and informative APPs and more chance to achieve the optimal disaggregate plan.
ShihPin Chen and WenLung Huang
Copyright © 2014 ShihPin Chen and WenLung Huang. All rights reserved.

On Harmonic Functions Defined by Differential Operator with Respect to Symmetric Points
Wed, 23 Jul 2014 08:25:04 +0000
http://www.hindawi.com/journals/ijmms/2014/628972/
We introduce new classes and of harmonic univalent functions with respect to symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem.
Afaf A. Ali Abubaker and Maslina Darus
Copyright © 2014 Afaf A. Ali Abubaker and Maslina Darus. All rights reserved.

Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations
Tue, 15 Jul 2014 13:11:05 +0000
http://www.hindawi.com/journals/ijmms/2014/174819/
We utilized the Haar wavelet operational matrix method for fractional order nonlinear oscillation equations and find the solutions of fractional order forcefree and forced DuffingVan der Pol oscillator and higher order fractional Duffing equation on large intervals. The results are compared with the results obtained by the other technique and with exact solution.
Umer Saeed and Mujeeb ur Rehman
Copyright © 2014 Umer Saeed and Mujeeb ur Rehman. All rights reserved.

Applying GGConvex Function to HermiteHadamard Inequalities Involving Hadamard Fractional Integrals
Mon, 14 Jul 2014 11:21:04 +0000
http://www.hindawi.com/journals/ijmms/2014/136035/
By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GGconvex function to derive new type HermiteHadamard inequalities involving Hadamard fractional integrals. Finally, some applications to special means of real numbers are demonstrated.
Zhi Zhang, JinRong Wang, and JianHua Deng
Copyright © 2014 Zhi Zhang et al. All rights reserved.

Proof of Some Conjectures of Melham Using Ramanujan's Formula
Thu, 10 Jul 2014 12:10:06 +0000
http://www.hindawi.com/journals/ijmms/2014/738948/
We employ Ramanujan's formula to prove three conjectures of R. S. Melham on representation of an integer as sums of polygonal numbers.
Bipul Kumar Sarmah
Copyright © 2014 Bipul Kumar Sarmah. All rights reserved.

Some Properties of Certain Class of Analytic Functions
Thu, 10 Jul 2014 08:39:39 +0000
http://www.hindawi.com/journals/ijmms/2014/358467/
We obtain some properties related to the coefficient bounds for certain subclass of analytic functions. We also work on the differential subordination for a certain class of functions.
Uzoamaka A. Ezeafulukwe and Maslina Darus
Copyright © 2014 Uzoamaka A. Ezeafulukwe and Maslina Darus. All rights reserved.

A Study of ChoKwonSrivastava Operator with Applications to Generalized Hypergeometric Functions
Wed, 09 Jul 2014 08:04:19 +0000
http://www.hindawi.com/journals/ijmms/2014/374821/
We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to ChoKwonSrivastava operator. A characterization property giving the coefficient bounds is obtained for this class of functions. The other related properties, which are investigated in this paper, include distortion and the radii of starlikeness and convexity. We also consider several applications of our main results to generalized hypergeometric functions.
F. Ghanim and M. Darus
Copyright © 2014 F. Ghanim and M. Darus. All rights reserved.

A Note on the Warmth of Random Graphs with Given Expected Degrees
Mon, 30 Jun 2014 11:27:36 +0000
http://www.hindawi.com/journals/ijmms/2014/749856/
We consider the random graph model for a given expected degree sequence . Warmth, introduced by Brightwell and Winkler in the context of combinatorial statistical mechanics, is a graph parameter related to lower bounds of chromatic number. We present new upper and lower bounds on warmth of . In particular, the minimum expected degree turns out to be an upper bound of warmth when it tends to infinity and the maximum expected degree with .
Yilun Shang
Copyright © 2014 Yilun Shang. All rights reserved.

New Expansion Formulas for a Family of the Generalized HurwitzLerch Zeta Functions
Thu, 26 Jun 2014 08:47:32 +0000
http://www.hindawi.com/journals/ijmms/2014/131067/
We derive several new expansion formulas for a new family of the λgeneralized HurwitzLerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important
fractional calculus theorems such as the generalized Leibniz rules, the Taylorlike expansions in terms of different functions, and the
generalized chain rule. Several (known or new) special cases are also considered.
H. M. Srivastava and Sébastien Gaboury
Copyright © 2014 H. M. Srivastava and Sébastien Gaboury. All rights reserved.

Folding Theory Applied to Residuated Lattices
Wed, 25 Jun 2014 11:04:56 +0000
http://www.hindawi.com/journals/ijmms/2014/428940/
Residuated lattices play an important role in the study of fuzzy logic based on norms. In this paper, we introduce some notions of fold filters in residuated lattices, study the relations among them, and compare them with prime, maximal and primary, filters. This work generalizes existing results in BLalgebras and residuated lattices, most notably the works of Lele et al., Motamed et al., Haveski et al., Borzooei et al., Van Gasse et al., Kondo et al., Turunen et al., and Borumand Saeid et al., we draw diagrams summarizing the relations between different types of fold filters and fold residuated lattices.
Albert Kadji, Celestin Lele, Jean B. Nganou, and Marcel Tonga
Copyright © 2014 Albert Kadji et al. All rights reserved.

Optimal ManufacturingRemanufacturing Production Policy for a ClosedLoop Supply Chain under Fill Rate and Budget Constraint in Bifuzzy Environments
Tue, 24 Jun 2014 12:16:32 +0000
http://www.hindawi.com/journals/ijmms/2014/690435/
We study a closedloop supply chain involving a manufacturing facility and a remanufacturing facility. The manufacturer satisfies stochastic market demand by remanufacturing the used product into “asnew” one and producing new products from raw material in the remanufacturing facility and the manufacturing facility, respectively. The remanufacturing cost depends on the quality of used product. The problem is maximizing the manufacturer’s expected profit by jointly determining the collected quantity of used product and the ordered quantity of raw material. Following that we analyze the model with a fill rate constraint and a budget constraint separately and then with both the constraints. Next, to handle the imprecise nature of some parameters of the model, we develop the model with both constraints in bifuzzy environment. Finally numerical examples are presented to illustrate the models. The sensitivity analysis is also conducted to generate managerial insight.
Soumita Kundu, Tripti Chakrabarti, and Dipak Kumar Jana
Copyright © 2014 Soumita Kundu et al. All rights reserved.

Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation
Tue, 24 Jun 2014 00:00:00 +0000
http://www.hindawi.com/journals/ijmms/2014/304745/
A Legendre wavelet operational matrix method (LWM) is presented for the solution of nonlinear fractionalorder Riccati differential equations, having variety of applications in quantum chemistry and quantum mechanics. The fractionalorder Riccati differential equations converted into a system of algebraic equations using Legendre wavelet operational matrix. Solutions given by the proposed scheme are more accurate and reliable and they are compared with recently developed numerical, analytical, and stochastic approaches. Comparison shows that the proposed LWM approach has a greater performance and less computational effort for getting accurate solutions. Further existence and uniqueness of the proposed problem are given and moreover the condition of convergence is verified.
S. Balaji
Copyright © 2014 S. Balaji. All rights reserved.

On Some New HermiteHadamard Type Inequalities for sGeometrically Convex Functions
Thu, 19 Jun 2014 15:50:20 +0000
http://www.hindawi.com/journals/ijmms/2014/163901/
Some new integral inequalities of HermiteHadamard
type related to the sgeometrically convex functions are established and some
applications to special means of positive real numbers are also given.
İmdat İşcan
Copyright © 2014 İmdat İşcan. All rights reserved.