A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

İbrahim Karahan*, Lateef Olakunle Jolaoso

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper, we prove some fixed point properties and demiclosedness principle for multivalued generalized α-nonexpansive mappings in uniformly convex hyperbolic spaces. We also proposed a three steps iterative scheme for approximating the common fixed points of generalized α-nonexpansive mapping and prove some strong and Δ-convergence theorems for such operator in the setting of uniformly convex hyperbolic space. We provide a numerical example to show that the three steps scheme proposed in this paper performs better than the modified SP-iterative scheme. The results obtained in this paper extend and generalized the corresponding results in uniformly convex Banach spaces, CAT(0) space and many other results in this direction.

Original languageEnglish
Pages (from-to)1031-1050
Number of pages20
JournalSigma Journal of Engineering and Natural Sciences
Volume38
Issue number2
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Generalized nonexpansive
  • fixed point theorems
  • hyperbolic spaces
  • multivalued mappings
  • three steps iteration

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