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Takahashi's Legacy in Fixed Point Theory

  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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  12. Content type: Research Article

    The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of a countable family of relatively nonexpansive mappings and the set of so...

    Authors: Somyot Plubtieng and Wanna Sriprad

    Citation: Fixed Point Theory and Applications 2009 2010:962628

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  13. Content type: Research Article

    We introduce two general iterative schemes for finding a common fixed point of a countable family of relatively nonexpansive mappings in a Banach space. Under suitable setting, we not only obtain several conve...

    Authors: Daruni Boonchari and Satit Saejung

    Citation: Fixed Point Theory and Applications 2009 2010:407651

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  14. Content type: Research Article

    We prove convergence theorems of modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by the two hybrid methods. Our results improve and extend the corresponding results annou...

    Authors: Kriengsak Wattanawitoon and Poom Kumam

    Citation: Fixed Point Theory and Applications 2009 2010:914702

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  15. Content type: Research Article

    We discuss the existence of common fixed points in uniformly convex metric spaces for single-valued pointwise asymptotically nonexpansive or nonexpansive mappings and multivalued nonexpansive,

    Authors: Rafa Espínola and Nawab Hussain

    Citation: Fixed Point Theory and Applications 2009 2010:204981

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  16. Content type: Research Article

    Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove st...

    Authors: Yasunori Kimura and Kazuhide Nakajo

    Citation: Fixed Point Theory and Applications 2009 2010:732872

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