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Variational Analysis and Fixed Point Theory

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  1. In this paper, we first prove the existence of a solution for a generalized equilibrium problem with a bifunction defined on the dual space in a Banach space setting. Second, by the virtue of this result, we c...

    Authors: Pongrus Phuangphoo and Poom Kumam
    Citation: Fixed Point Theory and Applications 2013 2013:264
  2. The aim of this paper is to obtain coupled fixed point theorems for self-mappings defined on an ordered closed and convex subset of a quasi-Banach space. Our method of proof is different and constructive in na...

    Authors: Nawab Hussain, Peyman Salimi and Saleh Al-Mezel
    Citation: Fixed Point Theory and Applications 2013 2013:261
  3. Let X be a uniformly convex and 2-uniformly smooth Banach space. In this paper, we propose an implicit iterative method and an explicit iterative method for solving a general system of variational inequalities (i...

    Authors: Abdul Latif, Abdullah E Al-Mazrooei, Buthinah ABin Dehaish and Jen C Yao
    Citation: Fixed Point Theory and Applications 2013 2013:258
  4. Let C be a closed and convex subset of a real Hilbert space H. Let T be a 2-generalized hybrid mapping of C into itself, let A be an α-inverse strongly-monotone mapping of C into H, and let B and F be maximal mon...

    Authors: Rabian Wangkeeree and Uraiwan Boonkong
    Citation: Fixed Point Theory and Applications 2013 2013:246
  5. In this paper, we prove a strong convergence theorem for a new hybrid method, using shrinking projection method introduced by Takahashi and a fixed point method for finding a common element of the set of solut...

    Authors: Aunyarat Bunyawat and Suthep Suantai
    Citation: Fixed Point Theory and Applications 2013 2013:236
  6. We say that a noncooperative game is nonmonetized if the ranges of the utilities of the players are posets. In this paper, we examine some nonmonetized noncooperative games of which both the collection of stra...

    Authors: Linsen Xie, Jinlu Li and Ching-Feng Wen
    Citation: Fixed Point Theory and Applications 2013 2013:235
  7. In this paper, we introduce an iterative scheme for finding a common element of the sets of fixed points for multivalued nonexpansive mappings, strict pseudo-contractive mappings and the set of solutions of an...

    Authors: J Vahidi, A Latif and M Eslamian
    Citation: Fixed Point Theory and Applications 2013 2013:213
  8. We have described a decirculation process which marks perturbations of network structure that are necessary for nonlinear network dynamics to proceed from one circulating state (a limit cycle) to another stabl...

    Authors: Mau-Hsiang Shih and Feng-Sheng Tsai
    Citation: Fixed Point Theory and Applications 2013 2013:195
  9. Korpelevich’s extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities. In the present paper, we propose a variant extragr...

    Authors: Yonghong Yao, Mihai Postolache and Yeong-Cheng Liou
    Citation: Fixed Point Theory and Applications 2013 2013:185
  10. In this paper, we introduce a new class of mappings called Bregman weak relatively nonexpansive mappings and propose new hybrid iterative algorithms for finding common fixed points of an infinite family of suc...

    Authors: Eskandar Naraghirad and Jen-Chih Yao
    Citation: Fixed Point Theory and Applications 2013 2013:141