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Takahashi's Legacy in Fixed Point Theory

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  1. Content type: Research Article

    Coincidence and fixed point theorems for a new class of contractive, nonexpansive and hybrid contractions are proved. Applications regarding the existence of common solutions of certain functional equations ar...

    Authors: SL Singh and SN Mishra

    Citation: Fixed Point Theory and Applications 2010 2010:452905

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  2. Content type: Research Article

    We discuss fixed point properties of convex subsets of locally convex linear topological spaces. We derive equivalence among fixed point properties concerning several types of multivalued mappings.

    Authors: Hidetoshi Komiya

    Citation: Fixed Point Theory and Applications 2010 2010:581728

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  3. Content type: Research Article

    We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups...

    Authors: M Imdad and AhmedH Soliman

    Citation: Fixed Point Theory and Applications 2010 2010:692401

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  4. Content type: Research Article

    The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equat...

    Authors: J Caballero, J Harjani and K Sadarangani

    Citation: Fixed Point Theory and Applications 2010 2010:916064

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  5. Content type: Research Article

    Our aim is twofold: first, we want to introduce a partial quasiordering in cone uniform spaces with generalized pseudodistances for giving the general maximality principle in these spaces. Second, we want to s...

    Authors: Kazimierz Włodarczyk and Robert Plebaniak

    Citation: Fixed Point Theory and Applications 2010 2010:175453

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  6. Content type: Research Article

    The main aim of this paper is to study and establish some new coupled fixed point theorems for nonlinear contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of quasiordered metric sp...

    Authors: Wei-Shih Du

    Citation: Fixed Point Theory and Applications 2010 2010:876372

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  7. Content type: Research Article

    A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems...

    Authors: Xiaolong Qin, SunYoung Cho and JongKyu Kim

    Citation: Fixed Point Theory and Applications 2010 2010:186874

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  8. Content type: Research Article

    We prove that the set of common fixed points of a given countable family of relatively nonexpansive mappings is identical to the fixed-point set of a single strongly relatively nonexpansive mapping. This answe...

    Authors: Weerayuth Nilsrakoo and Satit Saejung

    Citation: Fixed Point Theory and Applications 2010 2010:414232

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  9. Content type: Research Article

    Taking into account possibly inexact data, we study both existence and approximation of fixed points for certain set-valued mappings of contractive type. More precisely, we study the existence of convergent it...

    Authors: Simeon Reich and AlexanderJ Zaslavski

    Citation: Fixed Point Theory and Applications 2010 2010:351531

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  10. Content type: Research Article

    We introduce and study some new CQ-type iterative algorithms with variable coefficients for asymptotically strict pseudocontractions in real Hilbert spaces. General results for asymptotically strict pseudocont...

    Authors: Ci-Shui Ge, Jin Liang and Ti-Jun Xiao

    Citation: Fixed Point Theory and Applications 2010 2010:948529

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  11. Content type: Research Article

    The purpose of this paper is to introduce and study two modified hybrid proximal-point algorithms for finding a common element of the solution set EP of a generalized equilibrium problem and the set

    Authors: L-C Zeng, QH Ansari, DavidS Shyu and J-C Yao

    Citation: Fixed Point Theory and Applications 2010 2010:590278

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