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

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

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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. 2010 Mathematics Subject Classification: 47H09; 47J25; 47J30.

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