Total asymptotically nonexpansive mappings in uniformly convex metric spaces

Hafiz Fukhar-Ud-Din; Safeer H Khan

Total asymptotically nonexpansive mappings in uniformly convex metric spaces

Hafiz Fukhar-Ud-Din
, Safeer H Khan

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We approximate common fixed point of a pair of total asymptotically nonexpansive mappings in the setting of a uniformly convex metric space. The proposed algorithm is computationally simpler than the existing ones in the literature of metric fixed point theory. Our results are new and are valid in Hilbert spaces, CAT(0) spaces and uniformly convex Banach spaces satisfying Opial’s property, simultaneously.

Original language	English
Pages (from-to)	161-172
Number of pages	12
Journal	UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
Volume	81
Issue number	1
State	Published - Jan 1 2019

Keywords

Common fixed point
Convergence
Convex metric space
Iterative algorithm
Jointly demiclosed principle
Total asymptotically nonexpansive mapping

Cite this

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Total asymptotically nonexpansive mappings in uniformly convex metric spaces

Abstract

Keywords

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