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Article 2021 · 1 citations

SOME CONVERGENCE RESULTS FOR MONOTONE NONEXPANSIVE MAPPINGS IN ORDERED CAT(0) SPACES

Uddin, I, Garodia, C., Yildirim, I

Abstract

In this paper, we study Picard-S iteration scheme for monotone nonexpansive mappings in the setting of CAT(0) spaces. We prove Delta and strong convergence results. Further, we provide a non trivial numerical example to illustrate the convergence of our iteration scheme and its stability with respect to the different parameters and initial values.

Keywords
Monotone-nonexpansive mappings fixed point iteration process strong and Delta-convergence FIXED-POINT THEOREM DELTA-CONVERGENCE ITERATION SETS
WoS Categories
Mathematics
Citation
Journal
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Year
2021
Volume
90
Issue
2
Pages
195-208
ISSN
0231-6986
eISSN
0862-9544
WoS UID
WOS:000652481100006