STRONG CONVERGENCE TO A FIXED POINT OF NONEXPENSIVE DISCRETE SEMIGROUP IN STRICTLY CONVEX BANACH SPACES


Rahmat G., Sarwar M., Tunç C.

JOURNAL OF MATHEMATICAL ANALYSIS, vol.12, no.4, pp.26-37, 2021 (ESCI) identifier

  • 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.