The general iterative methods for nonexpansive mappings in Banach spaces |
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Authors: | Rattanaporn Wangkeeree Narin Petrot Rabian Wangkeeree |
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Institution: | 1.Department of Mathematics, Faculty of Science,Naresuan University,Phitsanulok,Thailand |
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Abstract: | In this paper, we introduce a general iterative approximation method for finding a common fixed point of a countable family
of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems
of such iterative scheme in a reflexive Banach space which admits a weakly continuous duality mapping. As applications, at
the end of the paper, we apply our results to the problem of finding a zero of an accretive operator. The main result extends
various results existing in the current literature. |
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