On some strong convergence results of a new Halpern-type iterative process for quasi-nonexpansive mappings and accretive operators in Banach spaces

2015/02/22 by Dogan, K., Karakaya, V.
#37C25 #47H09 #47H10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1502.06240

Abstract

In this study, we introduce a new iterative processes to approximate common fixed points of an infinite family of quasi-nonexpansive mappings and obtain a strongly convergent iterative sequence to the common fixed points of these mappings in a uniformly convex Banach space. Also we prove that this process to approximate zeros of an infinite family of accretive operators and we obtain a strong convergence result for these operators. Our results improve and generalize many known results in the current literature.

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