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http://dx.doi.org/10.22771/nfaa.2022.27.01.03

STRONG AND ∆-CONVERGENCE THEOREMS FOR A COUNTABLE FAMILY OF MULTI-VALUED DEMICONTRACTIVE MAPS IN HADAMARD SPACES  

Minjibir, Ma'aruf Shehu (African University of Science and Technology, Abuja, Nigeria Bayero University)
Salisu, Sani (African University of Science and Technology)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.1, 2022 , pp. 45-58 More about this Journal
Abstract
In this paper, iterative algorithms for approximating a common fixed point of a countable family of multi-valued demicontractive maps in the setting of Hadamard spaces are presented. Under different mild conditions, the sequences generated are shown to strongly convergent and ∆-convergent to a common fixed point of the considered family, accordingly. Our theorems complement many results in the literature.
Keywords
CAT(0) space; multi-valued demicontractive maps; Hausdorff metric; strong convergence; ${\Delta}$-convergence;
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