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Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces |
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| Authors: | Shih-sen Chang HW Joseph Lee |
| Institution: | a Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
| Abstract: | The purpose of this paper is to study the convergence problems of the implicity iteration process for an asymptotically nonexpansive semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results announced by many authors. |
| Keywords: | Lipschitzian pseudocontraction semigroup Asymptotically nonexpansive semigroups Uniformly Gâ teaux differentiable norm Uniform normal structure Normalized duality mapping Common fixed point |
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