Chinese Journal of Mathematics The latest articles from Hindawi Publishing Corporation © 2014 , Hindawi Publishing Corporation . All rights reserved. On Quasi-Pseudometric Type Spaces Tue, 15 Apr 2014 00:00:00 +0000 We introduce the concept of a quasi-pseudometric type space and prove some fixed point theorems. Moreover, we connect this concept to the existing notion of quasi-cone metric space. Eniola Funmilayo Kazeem, Collins Amburo Agyingi, and Yaé Ulrich Gaba Copyright © 2014 Eniola Funmilayo Kazeem et al. All rights reserved. Inclusion Properties of New Classes of Analytic Functions Mon, 31 Mar 2014 14:06:43 +0000 The purpose of the present paper is to introduce certain new subclasses of analytic functions defined by Srivastava-Attiya operator and study their inclusion relationships and to obtain some interesting consequences of the inclusion relations. Mohan Das, Ramesha Chendady, and Indira Kasarkod Pal Copyright © 2014 Mohan Das et al. All rights reserved. Dynamic Behaviour under Moving Distributed Masses of Nonuniform Rayleigh Beam with General Boundary Conditions Sun, 23 Mar 2014 06:14:40 +0000 This paper investigates the flexural vibration of a finite nonuniform Rayleigh beam resting on an elastic foundation and under travelling distributed loads. For the solution of this problem, in the first instance, the generalized Galerkin method was used. The resulting Galerkin’s equations were then simplified using the modified asymptotic method of Struble. The simplified second-order ordinary differential equation was then solved using the method of integral transformation. The closed form solution obtained was analyzed and results show that, an increase in the values of foundation moduli and rotatory inertia correction factor reduces the response amplitudes of both the clamped-clamped nonuniform Rayleigh beam and the clamped-free nonuniform Rayleigh beam. Also for the same natural frequency, the critical speed for the moving distributed mass problem is smaller than that for the moving distributed force problem. Hence resonance is reached earlier in the former. Furthermore, resonance conditions for the dynamical system are attained significantly by both and for the illustrative end conditions considered. Emem Ayankop Andi and Sunday Tunbosun Oni Copyright © 2014 Emem Ayankop Andi and Sunday Tunbosun Oni. All rights reserved. Generalizations of Inequalities for Differentiable Co-Ordinated Convex Functions Wed, 19 Mar 2014 09:54:17 +0000 A generalized lemmas is proved and several new inequalities for differentiable co-ordinated convex and concave functions in two variables are obtained. Feixiang Chen Copyright © 2014 Feixiang Chen. All rights reserved. A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations Thu, 13 Mar 2014 13:38:23 +0000 Based on Ostrowski's method, a new family of eighth-order iterative methods for solving nonlinear equations by using weight function methods is presented. Per iteration the new methods require three evaluations of the function and one evaluation of its first derivative. Therefore, this family of methods has the efficiency index which equals 1.682. Kung and Traub conjectured that a multipoint iteration without memory based on evaluations could achieve optimal convergence order . Thus, we provide a new class which agrees with the conjecture of Kung-Traub for . Numerical comparisons are made to show the performance of the presented methods. Taher Lotfi and Tahereh Eftekhari Copyright © 2014 Taher Lotfi and Tahereh Eftekhari. All rights reserved. On Liouville Sequences in the Non-Archimedean Case Wed, 05 Mar 2014 00:00:00 +0000 We study Liouville numbers in the non-Archimedean case. We deal with the concept of a Liouville sequence in the non-Archimedean case and we give some results both in the p-adic numbers field and the functions field . Hamza Menken and Abdulkadir Aşan Copyright © 2014 Hamza Menken and Abdulkadir Aşan. All rights reserved. On the Estimation of Parameter of Weighted Sums of Exponential Distribution Tue, 04 Mar 2014 07:30:57 +0000 The random variable , with and   being independent exponentially distributed random variables with mean one, is considered. Van Leeuwaarden and Temme (2011) attempted to determine good approximation of the distribution of . The main problem is estimating the parameter that has the main state in applicable research. In this paper we show that estimating the parameter by using the relation between and mode is available. The mean square error values are obtained for estimating by mode, moment method, and maximum likelihood method. N. Abbasi, A. Namju, and N. Safari Copyright © 2014 N. Abbasi et al. All rights reserved. Growth Rates of Meromorphic Functions Focusing Relative Order Sun, 02 Mar 2014 14:00:22 +0000 A detailed study concerning some growth rates of composite entire and meromorphic functions on the basis of their relative orders (relative lower orders) with respect to entire functions has been made in this paper. Sanjib Kumar Datta, Tanmay Biswas, and Sarmila Bhattacharyya Copyright © 2014 Sanjib Kumar Datta et al. All rights reserved. Wiener Polarity Index of Cycle-Block Graphs Thu, 27 Feb 2014 16:26:08 +0000 The Wiener polarity index of a graph is the number of unordered pairs of vertices of such that the distance between and is 3. Cycle-block graph is a connected graph in which every block is a cycle. In this paper, we determine the maximum and minimum Wiener polarity index of cycle-block graphs and describe their extremal graphs; the extremal graphs of 4-uniform cactus with respect to Wiener polarity index are also discussed. Zhen Jia, Fuyi Wei, and Yang Wu Copyright © 2014 Zhen Jia et al. All rights reserved. Existence for a Second-Order Impulsive Neutral Stochastic Integrodifferential Equations with Nonlocal Conditions and Infinite Delay Thu, 27 Feb 2014 06:29:02 +0000 The current paper is concerned with the existence of mild solutions for a class of second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delays in a Hilbert space. A sufficient condition for the existence results is obtained by using the Krasnoselskii-Schaefer-type fixed point theorem combined with theories of a strongly continuous cosine family of bounded linear operators. Finally, an application to the stochastic nonlinear wave equation with infinite delay is given. Dang Huan Diem Copyright © 2014 Dang Huan Diem. All rights reserved. Disjointness Preserving and Functional Type Disjointness Preserving Operators Tue, 25 Feb 2014 08:55:10 +0000 A new concept called functional type disjointness preserving operators is introduced and structure of disjointness preserving and functional type disjointness preserving operators on some function spaces are analysed. C. Ganesa Moorthy and C. T. Ramasamy Copyright © 2014 C. Ganesa Moorthy and C. T. Ramasamy. All rights reserved. Asymptotic I-Equivalence of Two Number Sequences and Asymptotic I-Regular Matrices Mon, 24 Feb 2014 14:04:22 +0000 We study I-equivalence of the two nonnegative sequences and . Also we define asymptotic I-regular matrices and obtain conditions for a matrix to be asymptotic I-regular. Hafize Gumus, Jeff Connor, and Fatih Nuray Copyright © 2014 Hafize Gumus et al. All rights reserved. Multinorms and Approximate Amenability of Weighted Group Algebras Sun, 23 Feb 2014 06:20:32 +0000 Let G be a locally compact group, and take with . We prove that, for any left -multiinvariant functional on and for any weight function on , the approximate amenability of the Banach algebra implies the left -amenability of , but in general the opposite is not true. Our proof uses the notion of multinorms. We also investigate the approximate amenability of . Saman Ghaderkhani Copyright © 2014 Saman Ghaderkhani. All rights reserved. Univalency and Convexity Conditions for a General Integral Operator Thu, 20 Feb 2014 09:20:54 +0000 For analytic functions and in the open unit disc , a new general integral operator is introduced. The main objective of this paper is to obtain univalence condition and order of convexity for this general integral operator. Serap Bulut and Daniel Breaz Copyright © 2014 Serap Bulut and Daniel Breaz. All rights reserved. Common Fixed Point of (, )-Generalized Contractive Mappings in Partially Ordered Metric Spaces Wed, 19 Feb 2014 11:37:24 +0000 Gordji et al. (2012) gave a generalization of Geraghty’s theorem. The aim of this paper is to study the necessary conditions for the existence of coincidence and common fixed point of four mappings satisfying (, )-generalized contractive condition in the setup of partial ordered metric spaces. Some examples are given to validate the definitions and results presented herein. M. Abbas, I. Zulfaqar, and Stojan Radenović Copyright © 2014 M. Abbas et al. All rights reserved. Modified Homotopy Perturbation Technique for the Approximate Solution of Nonlinear Equations Tue, 18 Feb 2014 12:52:51 +0000 We use a new modified homotopy perturbation method to suggest and analyze some new iterative methods for solving nonlinear equations. This new modification of the homotopy method is quite flexible. Various numerical examples are given to illustrate the efficiency and performance of the new methods. These new iterative methods may be viewed as an addition and generalization of the existing methods for solving nonlinear equations. Farooq Ahmed Shah Copyright © 2014 Farooq Ahmed Shah. All rights reserved. Fuzzy Soft System and Arrhythmia Classification Tue, 18 Feb 2014 12:48:48 +0000 An arrhythmia is an irregularity with the speed or rhythm of the heartbeat. During an arrhythmia, the heart can beat too fast, too slow, or with an irregular rhythm. Most arrhythmias are harmless, but some can be serious or even life threatening. The present paper deals with the classification scheme of arrhythmia commonly occurring in human beings of Southeast Asian countries. Medical knowledge used in practice has been closely studied for modelling user friendly referral system to sharpen arrhythmia diagnosis by experts and this system is tested with satisfactory factor which is measured with degree of match criterion under the domain of considered inputs and computed output. Pankaj Srivastava, Neeraja Sharma, and C. S. Aparna Copyright © 2014 Pankaj Srivastava et al. All rights reserved. Direct and Inverse Problems for Sturm-Liouville Operator Which Has Discontinuity Conditions and Coulomb Potential Tue, 18 Feb 2014 00:00:00 +0000 We give a derivation of the main equation for Sturm-Liouville operator with Coulomb potential and prove its unique solvability. Using the solution of the main equation, we get an algorithm for the solution of the inverse problem. Yalçın Güldü and Merve Arslantaş Copyright © 2014 Yalçın Güldü and Merve Arslantaş. All rights reserved. Existence of Mild Solutions for Impulsive Fractional Stochastic Differential Inclusions with State-Dependent Delay Mon, 17 Feb 2014 16:22:20 +0000 We study the existence of mild solutions for a class of impulsive fractional stochastic differential inclusions with state-dependent delay. Sufficient conditions for the existence of solutions are derived by using the nonlinear alternative of Leray-Schauder type for multivalued maps due to O’Regan. An example is given to illustrate the theory. Toufik Guendouzi and Ouahiba Benzatout Copyright © 2014 Toufik Guendouzi and Ouahiba Benzatout. All rights reserved. New Operational Matrix of Integrations and Coupled System of Fredholm Integral Equations Thu, 13 Feb 2014 11:34:25 +0000 We study Legendre polynomials and develop new operational matrix of integration. Based on the operational matrix, we develop a new method to solve a coupled system of Fredholm integral equations of the form , , where , , , and are real constants and . The method reduces the coupled system to a system of easily solvable algebraic equations without discretizing the original system. As an application, we provide examples and numerical simulations demonstrating that the results obtained using the new technique match very well with the exact solutions of the problems. To show the efficiency of the method, we compare our results with some of the results already studied with other available methods in the literature. Hammad Khalil and Rahmat Ali Khan Copyright © 2014 Hammad Khalil and Rahmat Ali Khan. All rights reserved. Translation, Creation and Annihilation of Poles and Zeros with the Biernacki and Ruscheweyh Operators, Acting on Meijer's -Functions Wed, 12 Feb 2014 09:40:10 +0000 Meijer's G-functions are studied by the Biernacki and Ruscheweyh operators. These operators are special cases of the Erdélyi-Kober operators (for ). The effect of operators on Meijer's G-functions can be shown as the change in the distribution of poles and zeros on the complex plane. These poles and zeros belong to the integrand, a ratio of gamma functions, defining the Meijer's G-function. Displacement in position and increasing or decreasing in number of poles and zeroes are expressed by the transporter, creator, and annihilator operators. With special glance, three basic univalent Meijer's G-functions, Koebe, and convex functions are considered. Amir Pishkoo and Maslina Darus Copyright © 2014 Amir Pishkoo and Maslina Darus. All rights reserved. New Oscillation Criteria for Third-Order Nonlinear Mixed Neutral Difference Equations Mon, 10 Feb 2014 06:30:22 +0000 Some new oscillation criteria are established for a third-order nonlinear mixed neutral difference equation. Our results improve and extend some known results in the literature. Several examples are given to illustrate the importance of the results. Elmetwally Mohammed Elabbasy, Magdy Yoseph Barsom, and Faisal Saleh AL-dheleai Copyright © 2014 Elmetwally Mohammed Elabbasy et al. All rights reserved. Splitting Groups with Basis Property Thu, 06 Feb 2014 10:51:37 +0000 A finite group is called splitting or splittable if it is a union of some collections of its proper subgroups intersecting pairwise at the identity. A special kind of splitting is known to be normal splitting. Also, a group is said to have the basis property if, for each subgroup , has a basis (minimal generating set), and any two bases have the same cardinality. In this work, I discuss a relation between classes of finite groups that possess both normal splitting and the basis property. This paper shows mainly that any non--group with basis property is normal splitting. However, the converse is not true in general. A counterexample is given. It is well known that any -group has basis property. I demonstrate some types of -groups which are splitting as well. Abdullah Aljouiee Copyright © 2014 Abdullah Aljouiee. All rights reserved. Wavelets Convergence and Unconditional Bases for and Thu, 06 Feb 2014 00:00:00 +0000 We prove that reasonable nice wavelets form unconditional bases in function space other than . Moreover, characterization of convergence of wavelets series in space and Hardy space has been obtained. Here, is a Banach space with boundedness of Riesz transform. Devendra Kumar Copyright © 2014 Devendra Kumar. All rights reserved. Algorithm for Solving a New System of Generalized Nonlinear Quasi-Variational-Like Inclusions in Hilbert Spaces Wed, 05 Feb 2014 13:29:48 +0000 We introduce and study a new system of generalized nonlinear quasi-variational-like inclusions with -cocoercive operator in Hilbert spaces. We suggest and analyze a class of iterative algorithms for solving the system of generalized nonlinear quasi-variational-like inclusions. An existence theorem of solutions for the system of generalized nonlinear quasi-variational-like inclusions is proved under suitable assumptions which show that the approximate solutions obtained by proposed algorithms converge to the exact solutions. Shamshad Husain, Sanjeev Gupta, and Huma Sahper Copyright © 2014 Shamshad Husain et al. All rights reserved. Assesment of New Analytical Method for Solving the Foam Drainage Equation Tue, 04 Feb 2014 13:18:22 +0000 The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. Foaming occurs in many distillation and absorption processes. In this study, a new reliable technique is used to handle the foam drainage equation. This new method resulted from VIM by a simple modification, that is, variational iteration method-II (VIM-II). It has been shown that the VIM-II is a powerful technique in obtaining accurate solutions that cannot be given otherwise by perturbation and other methods. The accuracy and convergence of the method are also investigated and compared with other methods. The results showed that there are good agreements between the results. Ali Nikkar Copyright © 2014 Ali Nikkar. All rights reserved. On Generalized -Recurrent -Trans-Sasakian Manifolds Thu, 30 Jan 2014 16:56:07 +0000 We study generalized -recurrent -trans-Sasakian manifolds. A relation between the associated 1-forms and and relation between characteristic vector field ξ and the vector fields for a generalized -recurrent. C. S. Bagewadi and Dakshayani A. Patil Copyright © 2014 C. S. Bagewadi and Dakshayani A. Patil. All rights reserved. Multiobjective Optimization of Allocated Exchange Portfolio: Model and Solution—A Case Study in Iran Thu, 30 Jan 2014 11:26:43 +0000 This paper presents a triobjective model for optimization of allocated exchange portfolio. The objectives of this model are minimizing risk and investment initial cost (by adopting two synchronic policies of buying and selling assets) and maximizing return, to optimize allocated portfolios (APs). In an AP, an investor by considering previous investment experiences and market conditions selects the within portfolio assets. Then, considering proposed model, the assets proportion of AP is optimized for a limited time horizon. In optimizing a multiobjective problem of an AP, risk and return objectives are measured on the basis of standard deviation of assets dairy return and dairy return mean within AP assets, respectively. We present a set of interobjectives trade-offs along with an analysis of Iran Melli bank investment in an exchange AP, using Weighted Global Criterion (WGC) method with assumption , 2, and ∞ to optimize the proposed model. Results of WGC model (in all , 2 and ∞) represent that US dollar exchange in comparison with other exchanges, was rather the fewest exchange proportion in Iran Melli bank exchange AP which this is consistent with Iran exchange investment policy of more concentration on other exchanges. Mostafa Ekhtiari Copyright © 2014 Mostafa Ekhtiari. All rights reserved. On Quadruple Random Fixed Point Theorems in Partially Ordered Metric Spaces Thu, 30 Jan 2014 07:05:49 +0000 We prove some quadruple random coincidence and quadruple random fixed point theorems under a set of conditions. We give examples to support our result. Our results are a generalization of the recent paper of Ćirić and Lakshmikantham (2009). R. A. Rashwan and D. M. Al-Baqeri Copyright © 2014 R. A. Rashwan and D. M. Al-Baqeri. All rights reserved. A Characterization of Jordan Homomorphism on Banach Algebras Wed, 29 Jan 2014 12:23:50 +0000 Let and be Banach algebras and let be a Jordan homomorphism. We show that, under special hypotheses, is ring homomorphism. Some related results are given as well. Abbas Zivari-Kazempour Copyright © 2014 Abbas Zivari-Kazempour. All rights reserved.