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Equilibrium Problems and Fixed Point Theory

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

  1. We introduced a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-ϕ-nonexpansive mappings, the set of common solutions of a finite family of equilibri...

    Authors: Shenghua Wang and Caili Zhou
    Citation: Fixed Point Theory and Applications 2011 2011:372975
  2. 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...

    Authors: Thanyarat Jitpeera and Poom Kumam
    Citation: Fixed Point Theory and Applications 2011 2011:217407
  3. We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theor...

    Authors: Somyot Plubtieng and Kanokwan Sitthithakerngkiet
    Citation: Fixed Point Theory and Applications 2011 2011:475121
  4. 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...

    Authors: A Cuntavepanit and B Panyanak
    Citation: Fixed Point Theory and Applications 2011 2011:869458
  5. 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...

    Authors: Nawitcha Onjai-uea and Poom Kumam
    Citation: Fixed Point Theory and Applications 2011 2011:601910
  6. We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the p...

    Authors: Prasit Cholamjiak and Suthep Suantai
    Citation: Fixed Point Theory and Applications 2011 2011:941090
  7. We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces ar...

    Authors: Rais Ahmad and Mohd Dilshad
    Citation: Fixed Point Theory and Applications 2010 2011:635030
  8. 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 ...

    Authors: Hafiz Fukhar-ud-din, AbdulAziz Domlo and AbdulRahim Khan
    Citation: Fixed Point Theory and Applications 2010 2011:173621
  9. This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a nonexpansive semigroup in Hilbert spaces. The results presented ...

    Authors: Xue-song Li, Nan-jing Huang and JongKyu Kim
    Citation: Fixed Point Theory and Applications 2010 2011:783502
  10. 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...

    Authors: Mau-Hsiang Shih and Feng-Sheng Tsai
    Citation: Fixed Point Theory and Applications 2010 2011:615274
  11. 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...

    Authors: Atid Kangtunyakarn
    Citation: Fixed Point Theory and Applications 2010 2011:274820
  12. By using the projection methods, we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators i...

    Authors: Issara Inchan and Narin Petrot
    Citation: Fixed Point Theory and Applications 2010 2011:689478
  13. We apply the variational characterization of the metric projection to prove some results about the solvability of general variational inequalities and the existence of maximum and minimum solutions to some gen...

    Authors: Jinlu Li and Jen-Chih Yao
    Citation: Fixed Point Theory and Applications 2010 2011:904320
  14. 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...

    Authors: Yen-Cherng Lin and Hsin-Jung Chen
    Citation: Fixed Point Theory and Applications 2010 2011:945413
  15. 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...

    Authors: Shenghua Wang and Baohua Guo
    Citation: Fixed Point Theory and Applications 2010 2011:392741
  16. We introduce a new iterative scheme based on both hybrid method and extragradient method for finding a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpa...

    Authors: Jian-Wen Peng, Soon-Yi Wu and Gang-Lun Fan
    Citation: Fixed Point Theory and Applications 2010 2011:232163
  17. We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexi...

    Authors: Kamonrat Nammanee and Rabian Wangkeeree
    Citation: Fixed Point Theory and Applications 2010 2011:671754
  18. The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under suitable con...

    Authors: JF Tan and SS Chang
    Citation: Fixed Point Theory and Applications 2010 2011:915629
  19. In quasigauge spaces, we introduce the families of generalized quasipseudodistances, and we define three kinds of dissipative set-valued dynamic systems with these families of generalized quasi-pseudodistances...

    Authors: Kazimierz Włodarczyk and Robert Plebaniak
    Citation: Fixed Point Theory and Applications 2010 2011:712706
  20. 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...

    Authors: Issa Mohamadi
    Citation: Fixed Point Theory and Applications 2010 2011:620284

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

  21. We introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a ...

    Authors: Thanyarat Jitpeera, Phayap Katchang and Poom Kumam
    Citation: Fixed Point Theory and Applications 2010 2011:945051
  22. 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

    Authors: Abdul Latif and Saleh A Al-Mezel
    Citation: Fixed Point Theory and Applications 2010 2011:178306
  23. The purpose of this paper is to introduce and investigate two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established ...

    Authors: LuChuan Ceng, YeongCheng Liou and Eskandar Naraghirad
    Citation: Fixed Point Theory and Applications 2010 2011:282171
  24. Using the concept of a mixed g-monotone mapping, we prove some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with...

    Authors: N Hussain, MH Shah and MA Kutbi
    Citation: Fixed Point Theory and Applications 2010 2011:703938