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Modified Halpern’s iteration without assumptions on fixed point set in metric space
Author(s)
Cheawchan, Kanyarat
Date Issued
January 1, 2019
Type
Article
Abstract
By improving Halpern’s iteration and studing convergence theorem of [1] and [2] in a complete uniformly convex metric space, we prove convergence theorem of a finite family of nonexpansive mappings without the assumption that “the set of common fixed points of nonexpansive mappings is nonempty”. We also introduce a mapping in metric space using a concept of the S-mapping defined by [3] for proving our main results.
Citation
Journal of Computational Analysis and Applications, 27(3), 393-403, 2019