Proceedings of the Conference 2012 on Mathematical Inequalities and Nonlinear Functional Analysis with Applications

Prof Yeol Je Cho, Prof Jong Kyu Kim, Prof Choonkil Park, Prof Josip Pecaric

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Strong convergence theorems for uniformly L-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces

In this paper, we establish some strong convergence theorems of the modified Ishikawa and Mann iterations with errors of uniformly L-Lipschitzian asymptotically pseudocontractive mappings in real Banach spaces. O...

Authors: Zhiqun Xue and Guiwen Lv

Citation: Journal of Inequalities and Applications 2013 2013:79

Content type: Research Published on: 28 February 2013
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Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spaces

The purpose of this paper is to prove that every 2-isometry without any other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Maz...

Authors: Choonkil Park and Cihangir Alaca

Citation: Journal of Inequalities and Applications 2013 2013:78

Content type: Research Published on: 28 February 2013
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A Korpelevich-like algorithm for variational inequalities

A Korpelevich-like algorithm has been introduced for solving a generalized variational inequality. It is shown that the presented algorithm converges strongly to a special solution of the generalized variation...

Authors: Zhitao Wu, Yonghong Yao, Yeong-Cheng Liou and Hong-Jun Li

Citation: Journal of Inequalities and Applications 2013 2013:76

Content type: Research Published on: 28 February 2013
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Some results on parallel iterative algorithms for strictly pseudocontractive mappings

In this paper, a parallel iterative algorithm with mixed errors is investigated. Strong and weak convergence theorems of common fixed points of a finite family of strictly pseudocontractive mappings are establ...

Authors: Xiaoye Yang, Yuan Qing and Mingliang Zhang

Citation: Journal of Inequalities and Applications 2013 2013:74

Content type: Research Published on: 28 February 2013
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Some eigenvalue results for perturbations of maximal monotone operators

We study the solvability of a nonlinear eigenvalue problem for maximal monotone operators under a normalization observation. The investigation is based on degree theories for appropriate classes of operators, ...

Authors: In-Sook Kim and Jung-Hyun Bae

Citation: Journal of Inequalities and Applications 2013 2013:72

Content type: Research Published on: 28 February 2013
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A further remark to paper ‘Convergence theorems for the common solution for a finite family of ϕ-strongly accretive operator equations’

In this note, we point out several gaps in Gurudwan and Sharma (Appl. Math. Comput. 217(15):6748-6754, 2011) and Yang (Appl. Math. Comput. 218(21):10367-10369, 2012) and give the main results under weaker cond...

Authors: Zhiqun Xue and Haiyun Zhou

Citation: Journal of Inequalities and Applications 2013 2013:35

Content type: Review Published on: 30 January 2013
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A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space

In this article, a new iterative process is introduced to approximate a common element of a fixed point set, the solutions of equilibrium problems, the solution set of variational inequality problems, and the ...

Authors: Siwaporn Saewan and Poom Kumam

Citation: Journal of Inequalities and Applications 2013 2013:23

Content type: Research Published on: 16 January 2013
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Hyers-Ulam stability of functional equations in matrix normed spaces

In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional equation and the quadratic functional equation in matrix normed spaces.

Authors: Jung Rye Lee, Dong Yun Shin and Choonkil Park

Citation: Journal of Inequalities and Applications 2013 2013:22

Content type: Research Published on: 16 January 2013
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Strong convergence of a general iterative algorithm in Hilbert spaces

In this paper, the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings, in the solution set of a variational inequality involving an inverse-s...

Authors: Songtao Lv

Citation: Journal of Inequalities and Applications 2013 2013:19

Content type: Research Published on: 15 January 2013
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A note on the Analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted p-adic q-measure on $Z_{p}$

Authors: Hong Kyung Pak, Seog Hoon Rim and Joohee Jeong

Citation: Journal of Inequalities and Applications 2013 2013:15

Content type: Research Published on: 9 January 2013
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Approximate pexiderized gamma-beta type functions

We show that every unbounded approximate pexiderized gamma-beta type function has a gamma-beta type. That is, we obtain the superstability of the pexiderized gamma-beta type functional equation

Authors: Young Whan Lee

Citation: Journal of Inequalities and Applications 2013 2013:14

Content type: Research Published on: 9 January 2013
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