approximating common fixed points of bregman weakly relatively nonexpansive mappings in banach spaces
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2014
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Abstract
Using Bregman functions, we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of Bregman weakly relatively nonexpansive mappings in Banach spaces. We prove a strong convergence theorem for the sequence produced by the method. No closedness assumption is imposed on a mapping T:C→C, where C is a closed and convex subset of a reflexive Banach space E. Furthermore, we apply our method to solve a system of equilibrium problems in reflexive Banach spaces. Some application of our results to the problem of finding a minimizer of a continuously Fréchet differentiable and convex function in a Banach space is presented. Our results improve and generalize many known results in the current literature.
| Reference Key |
pang2014journalapproximating
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|---|---|
| Authors | ;Chin-Tzong Pang;Eskandar Naraghirad |
| Journal | Biosensors |
| Year | 2014 |
| DOI |
10.1155/2014/743279
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| URL | |
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