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Equilibrium Problems and Fixed Point Theory

Guest Editors: Qamrul Hasan Ansari, Suliman Al-Homidan, and Jen-Chih Yao

  1. Research Article

    A New Hybrid Algorithm for a System of Mixed Equilibrium Problems, Fixed Point Problems for Nonexpansive Semigroup, and Variational Inclusion Problem

    The purpose of this paper is to consider a shrinking projection method for finding the common element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an infini...

    Thanyarat Jitpeera and Poom Kumam

    Fixed Point Theory and Applications 2011 2011:217407

    Published on: 23 January 2011

  2. Research Article

    Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces

    Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (200...

    A Cuntavepanit and B Panyanak

    Fixed Point Theory and Applications 2011 2011:869458

    Published on: 11 January 2011

  3. Research Article

    Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in Banach Spaces

    We consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems, the set of solutions of a system of quasivariational inclusions for two difference inver...

    Nawitcha Onjai-uea and Poom Kumam

    Fixed Point Theory and Applications 2011 2011:601910

    Published on: 10 January 2011

  4. Research Article

    Strong Convergence of an Implicit Algorithm in CAT(0) Spaces

    We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT http://static-content.springer.com/image/art%3A10.1155%2F2011%2F173621/MediaObjects/13663_2010_Article_1379_IEq1_HTML.gif ...

    Hafiz Fukhar-ud-din, AbdulAziz Domlo and AbdulRahim Khan

    Fixed Point Theory and Applications 2010 2011:173621

    Published on: 29 December 2010

  5. Research Article

    Hamming Star-Convexity Packing in Information Storage

    A major puzzle in neural networks is understanding the information encoding principles that implement the functions of the brain systems. Population coding in neurons and plastic changes in synapses are two im...

    Mau-Hsiang Shih and Feng-Sheng Tsai

    Fixed Point Theory and Applications 2010 2011:615274

    Published on: 21 December 2010

  6. Research Article

    Hybrid Algorithm for Finding Common Elements of the Set of Generalized Equilibrium Problems and the Set of Fixed Point Problems of Strictly Pseudocontractive Mapping

    The purpose of this paper is to prove the strong convergence theorem for finding a common element of the set of fixed point problems of strictly pseudocontractive mapping in Hilbert spaces and two sets of gene...

    Atid Kangtunyakarn

    Fixed Point Theory and Applications 2010 2011:274820

    Published on: 20 December 2010

  7. Research Article

    Solving the Set Equilibrium Problems

    We study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of...

    Yen-Cherng Lin and Hsin-Jung Chen

    Fixed Point Theory and Applications 2010 2011:945413

    Published on: 2 December 2010

  8. Research Article

    Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces

    We introduce an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings in...

    Shenghua Wang and Baohua Guo

    Fixed Point Theory and Applications 2010 2011:392741

    Published on: 2 December 2010

  9. Research Article

    Iterative Methods for Variational Inequalities over the Intersection of the Fixed Points Set of a Nonexpansive Semigroup in Banach Spaces

    This paper presents a framework of iterative methods for finding specific common fixed points of a nonexpansive self-mappings semigroup in a Banach space. We prove, with appropriate conditions, the strong conv...

    Issa Mohamadi

    Fixed Point Theory and Applications 2010 2011:620284

    Published on: 25 November 2010

    The Erratum to this article has been published in Fixed Point Theory and Applications 2011 2011:187439

  10. Research Article

    Fixed Point Results in Quasimetric Spaces

    In the setting of quasimetric spaces, we prove some new results on the existence of fixed points for contractive type maps with respect to http://static-content.springer.com/image/art%3A10.1155%2F2011%2F178306/MediaObjects/13663_2010_Article_1382_IEq1_HTML.gif

    Abdul Latif and Saleh A Al-Mezel

    Fixed Point Theory and Applications 2010 2011:178306

    Published on: 14 October 2010