GENERALIZED α-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

Authors

  • Jong Kyu Kim Department of Mathematics Education, Kyungnam University
  • Samir Dashputre Department of Mathematics, Govt. College
  • . Padmavati Department of Mathematics, Govt. V.Y.T. Auto. P.G. College
  • Kavita Sakure Department of Mathematics, Govt. Digvijay Auto. P.G. College

Abstract

This paper deals with the new iterative algorithm for approximating the fixed point of generalized α-nonexpansive mappings in a hyperbolic space. We show that the proposed iterative algorithm is faster than all of Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur and Piri iteration processes for contractive mappings in a Banach space. We also establish some weak and strong convergence theorems for generalized α-nonexpansive mappings in hyperbolic space. The examples and numerical results are provided in this paper for supporting our main results.

 

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Published

2022-08-26

Issue

Volume 27, Number 3, September 2022

Section

Articles