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Equilibrium Problems and Fixed Point Theory

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

  1. Content type: Research Article

    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

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  2. Content type: Research Article

    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

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  3. Content type: Research Article

    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

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  4. Content type: Research Article

    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

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  5. Content type: Research Article

    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

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  6. Content type: Research Article

    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

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  7. Content type: Research Article

    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

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  8. Content type: Research Article

    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

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  9. Content type: Research Article

    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

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  10. Content type: Research Article

    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

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  11. Content type: Research Article

    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

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  12. Content type: Research Article

    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

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  13. Content type: Research Article

    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

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  14. Content type: Research Article

    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

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  15. Content type: Research Article

    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

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  16. Content type: Research Article

    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

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  17. Content type: Research Article

    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

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  18. Content type: Research Article

    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

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  19. Content type: Research Article

    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

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

  20. Content type: Research Article

    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

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  21. Content type: Research Article

    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

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  22. Content type: Research Article

    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

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  23. Content type: Research Article

    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

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  24. Content type: Research Article

    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

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