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S. Park's Contribution to the Development of Fixed Point Theory and KKM Theory

  2. Content type: Research

    In this review, we introduce a new KKM-type theorem for intersectionally closed-valued KKM map on abstract convex spaces and its direct consequences such as a Fan-Browder-type fixed point theorem and maximal e...

    Authors: Sehie Park

    Citation: Fixed Point Theory and Applications 2011 2011:98

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  4. Content type: Research

    We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.

    Authors: Jong Kyu Kim and Truong Minh Tuyen

    Citation: Fixed Point Theory and Applications 2011 2011:52

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  5. Content type: Research

    A new general iterative method for finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and...

    Authors: Aunyarat Bunyawat and Suthep Suantai

    Citation: Fixed Point Theory and Applications 2011 2011:47

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  6. Content type: Research

    In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. W...

    Authors: Kwan Deok Bae and Do Sang Kim

    Citation: Fixed Point Theory and Applications 2011 2011:42

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    The Erratum to this article has been published in Fixed Point Theory and Applications 2012 2012:28

  8. Content type: Research

    In this paper, a scalarization result of ε-weak efficient solution for a vector equilibrium problem (VEP) is given. Using this scalarization result, the connectedness of ε-weak efficient and ε-efficient solutions...

    Authors: Bin Chen, Qing-you Liu, Zhi-bin Liu and Nan-jing Huang

    Citation: Fixed Point Theory and Applications 2011 2011:36

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  10. Content type: Research

    In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied. To overcome the difficul...

    Authors: Ravi P Agarwal, Yeol JE Cho and Narin Petrot

    Citation: Fixed Point Theory and Applications 2011 2011:31

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  12. Content type: Research

    Let H be a Hilbert space, C be a closed convex subset of H such that C ± C ⊂ C, and T : C → H be a k-strictly pseudo-contractive mapping with F(T) ≠ ∅ for some 0 ≤ k < 1. Let F : C → C be a κ-Lipschitzian and η-s...

    Authors: Jong Soo Jung

    Citation: Fixed Point Theory and Applications 2011 2011:24

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  13. Content type: Research

    The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of sol...

    Authors: Lu-Chuan Ceng, Qamrul Hasan Ansari, Ngai-Ching Wong and Jen-Chih Yao

    Citation: Fixed Point Theory and Applications 2011 2011:22

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  14. Content type: Research

    Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T

    Authors: Worawut Laowang and Bancha Panyanak

    Citation: Fixed Point Theory and Applications 2011 2011:20

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  17. Content type: Research

    We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-Ï•-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence t...

    Authors: Jong Kyu Kim

    Citation: Fixed Point Theory and Applications 2011 2011:10

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  18. Content type: Research

    In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problem...

    Authors: Siwaporn Saewan and Poom Kumam

    Citation: Fixed Point Theory and Applications 2011 2011:9

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  21. Content type: Research

    In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete m...

    Authors: Hemant Kumar Nashine, Bessem Samet and Jong Kyu Kim

    Citation: Fixed Point Theory and Applications 2011 2011:5

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  23. Content type: Research Article

    We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed points for a finite fa...

    Authors: Nguyen Buong and NguyenThi Quynh Anh

    Citation: Fixed Point Theory and Applications 2011 2011:276859

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  25. Content type: Research Article

    We introduce an iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions mapping, the set of common solutions of a system of two mixed equilibrium problems and t...

    Authors: Poom Kumam and Chaichana Jaiboon

    Citation: Fixed Point Theory and Applications 2011 2011:347204

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  30. Content type: Research Article

    The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main resul...

    Authors: Shih-sen Chang, YeolJe Cho, HWJoseph Lee and ChiKin Chan

    Citation: Fixed Point Theory and Applications 2011 2011:583423

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  33. Content type: Research Article

    The modified Ishikawa iterative process is investigated for the class of total asymptotically pseudocontractive mappings. A weak convergence theorem of fixed points is established in the framework of Hilbert s...

    Authors: Xiaolong Qin, SunYoung Cho and ShinMin Kang

    Citation: Fixed Point Theory and Applications 2011 2011:859795

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  34. Content type: Research Article

    We prove a strong convergence theorem for an infinite family of asymptotically strict pseudo-contractions and an infinite family of equilibrium problems in a Hilbert space. Our proof is simple and different fr...

    Authors: Shenghua Wang, ShinMin Kang and YoungChel Kwun

    Citation: Fixed Point Theory and Applications 2011 2011:859032

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  36. Content type: Research Article

    We propose a hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-po...

    Authors: Lu-Chuan Ceng, Sy-Ming Guu and Jen-Chih Yao

    Citation: Fixed Point Theory and Applications 2010 2011:626159

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