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- Title
FIXED POINT APPROXIMATION OF COUNTABLY INFINITE FAMILY OF NONEXPANSIVE MAPPINGS.
- Authors
Dashputre, Samir; Padmavati; Sakure, Kavita
- Abstract
In this paper, we propose an iterative algorithm and then prove the strong convergence of proposed algorithm in framework of CAT(0) space and Hilbert space for approximating the common fixed point of countably infinite family of nonexpansive mappings and minimizer of proper, convex, lower semicontinuous function. Then we implement the proposed algorithm to solve constrained minimization problem and system of linear equations. Our results genaralize the results of Phuengrattana et al. [36] and Suparatulatorn et al. [43].
- Subjects
NONEXPANSIVE mappings; HILBERT space; LINEAR equations; LINEAR systems; ALGORITHMS
- Publication
South East Asian Journal of Mathematics & Mathematical Sciences, 2021, Vol 17, Issue 1, p361
- ISSN
0972-7752
- Publication type
Article