A STRONG CONVERGENCE FOR FINDING A COMMON FIXED POINT OF A REPRESENTATION OF NONEXPANSIVE MAPPINGS AND W-MAPPINGS IN BANACH SPACES

A STRONG CONVERGENCE FOR FINDING A COMMON FIXED POINT OF A REPRESENTATION OF NONEXPANSIVE MAPPINGS AND W-MAPPINGS IN BANACH SPACES

E. Soori, S. A. Shahanshahi

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Abstract

In this paper, a strong convergence for finding an element of the set of common fixed points of a representation and W-mappings of nonexpansive mappings is introduced. Then, the strong convergence of the proposed implicit scheme to the common fixed point of a representation of nonexpansive mappings and W -mappings will be proved.

Keywords

Fixed point; Nonexpansive mapping; Representation; Semigroup; W- mappings.