STRONG CONVERGENCE TO A FIXED POINT OF NONEXPENSIVE DISCRETE SEMIGROUP IN STRICTLY CONVEX BANACH SPACES
JOURNAL OF MATHEMATICAL ANALYSIS, vol.12, no.4, pp.26-37, 2021 (ESCI)
- Publication Type: Article / Article
- Volume: 12 Issue: 4
- Publication Date: 2021
- Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.26-37
- Keywords: Banach Spaces, Fixed Point, Strong Convergence, NONEXPANSIVE-MAPPINGS, GENERALIZED CONTRACTION, WEAK-CONVERGENCE, METRIC-SPACES, THEOREMS, ITERATION
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
In this paper, we prove a strong convergence of a sequence with some certain conditions to a common fixed point of a discrete semigroup of non-expansive and linear operators on a strictly convex Banach spaces. Further we generalized the result to a countable family of such discrete semigroups.