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Takahashi's Legacy in Fixed Point Theory

  1. 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

    Content type: Research Article

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  2. 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

    Content type: Research Article

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  3. 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

    Content type: Research Article

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  4. 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

    Content type: Research Article

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  5. 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

    Content type: Research Article

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  6. 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

    Content type: Research Article

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  7. 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

    Content type: Research Article

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  8. 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

    Content type: Research Article

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  9. 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

    Content type: Research Article

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  10. 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

    Content type: Research Article

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  11. 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

    Content type: Research Article

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  12. 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

    Content type: Research Article

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  13. 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

    Content type: Research Article

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  14. 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

    Content type: Research Article

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  15. 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

    Content type: Research Article

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  16. 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

    Content type: Research Article

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