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Strong Convergence of the Iterations of Quasi $phi$-nonexpansive Mappings and its Applications in Banach Spaces

Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 3)

Publication Date:

Authors : ; ; ;

Page : 71-80

Keywords : Demiclosed‎; ‎equilibrium problem‎; ‎fixed point‎; ‎hybrid projection‎; ‎quasi nonexpansive mapping‎; Resolvent;

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Abstract

In this paper, we study the iterations of quasi $phi$-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi $phi$-nonexpansive mappings.  Then, we give  applications of our main results in equilibrium problems.

Last modified: 2021-11-03 14:28:17