Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Authors: Kim Jong Kyu, Trương Minh Tuyên,

https://doi.org/10.1186/1687-1812-2011-52

Publisher, magazine: ,

Publication year: 2011

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Abstract

We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.

Tags: accretive operators; uniformly smooth and uniformly convex; Banach space; sunny nonexpansive retraction; weak sequential continuous; mapping; regularization