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Thematic Series in the Honor of Professor Shih-Sen Chang’s(张石生) 80th birthday and his significant contributions to Nonlinear Analysis and its Applications

Prof Yeol Je Cho, Prof Nan-jing Huang, Prof Jong Kyu Kim, Prof George Yuan

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  1. Research

    Best proximity point theorems with Suzuki distances

    In this paper, we define the weak P-property and the α-ψ-proximal contraction by p in which p is a τ-distance on a metric space. Then, we prove some best proximity point theorems in a complete metric space X with...

    Mehdi Omidvari, Seiyed Mansour Vaezpour, Reza Saadati and Sung Jin Lee

    Journal of Inequalities and Applications 2015 2015:27

    Published on: 27 January 2015

  2. Research

    On ϵ-solutions for robust fractional optimization problems

    We consider ϵ-solutions (approximate solutions) for a fractional optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish optimality theorems an...

    Jae Hyoung Lee and Gue Myung Lee

    Journal of Inequalities and Applications 2014 2014:501

    Published on: 16 December 2014

  3. Research

    Preconditioning methods for solving a general split feasibility problem

    We introduce and study a new general split feasibility problem (GSFP) in a Hilbert space. This problem generalizes the split feasibility problem (SFP). The GSFP extends the SFP with a nonlinear continuous oper...

    Peiyuan Wang, Haiyun Zhou and Yu Zhou

    Journal of Inequalities and Applications 2014 2014:435

    Published on: 31 October 2014

  4. Research

    α-ψ-Geraghty contractions on generalized metric spaces

    In this work, we introduce the class of α-ψ-Geraghty contraction as well as generalized α-ψ-Geraghty contraction mappings in the context of generalized metric spaces where ψ is an auxiliary function which does no...

    Mehdi Asadi, Erdal Karapınar and Anil Kumar

    Journal of Inequalities and Applications 2014 2014:423

    Published on: 22 October 2014

  5. Research

    The existence of equilibria for the rank game

    In this paper, we introduce the concept of the rank game and propose a mathematical model for it. By a discrete fixed point theorem, we give the existence results of rank equilibria.

    Zhi Lin

    Journal of Inequalities and Applications 2014 2014:416

    Published on: 16 October 2014

  6. Research

    An explicit algorithm for solving the optimize hierarchical problems

    In this paper, we consider the variational inequality problem over the generalized mixed equilibrium problem which has a hierarchical structure. Strong convergence of the algorithm to the unique solution is gu...

    Poom Kumam, Thanyarat Jitpeera and Wararat Yarangkham

    Journal of Inequalities and Applications 2014 2014:405

    Published on: 16 October 2014

  7. Research

    Strong convergence results of two-steps modifying Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

    In this paper, a two-steps modifying Halpern iteration for Bregman strongly nonexpansive multi-valued mappings in the framework of reflexive Banach spaces is established. Under suitable limit conditions, some ...

    Hongbo Liu and Yi Li

    Journal of Inequalities and Applications 2014 2014:412

    Published on: 16 October 2014

  8. Research

    Algorithms with variant anchors for pseudocontractive mappings

    The purpose of this paper is to find the fixed points of pseudocontractive mappings by using the iterative technique. Two algorithms with variant anchors have been introduced. Strong convergence results are gi...

    Lijin Guo, Shin Min Kang and Chahn Yong Jung

    Journal of Inequalities and Applications 2014 2014:386

    Published on: 9 October 2014

  9. Research

    A hybrid iteration for asymptotically strictly pseudocontractive mappings

    In this paper, we propose a new hybrid iteration for a finite family of asymptotically strictly pseudocontractive mappings. We also prove that such a sequence converges strongly to a common fixed point of a fi...

    Rajshree Dewangan, Balwant Singh Thakur and Mihai Postolache

    Journal of Inequalities and Applications 2014 2014:374

    Published on: 29 September 2014

  10. Research

    Generalized fixed point theorems for multi-valued α-ψ-contractive mappings

    The aim of this paper is to establish certain new fixed point results for multi-valued as well as single-valued maps satisfying an α-ψ-contractive conditions in complete metric space. As an application, we derive...

    Nawab Hussain, Jamshaid Ahmad and Akbar Azam

    Journal of Inequalities and Applications 2014 2014:348

    Published on: 4 September 2014

  11. Research

    Constructed nets with perturbations for equilibrium and fixed point problems

    In this paper, an implicit net with perturbations for solving the mixed equilibrium problems and fixed point problems has been constructed and it is shown that the proposed net converges strongly to a common s...

    Yonghong Yao, Yeol Je Cho, Yeong-Cheng Liou and Ravi P Agarwal

    Journal of Inequalities and Applications 2014 2014:334

    Published on: 2 September 2014

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