Approximation of Endpoints for ? —Reich–Suzuki Nonexpansive Mappings in Hyperbolic Metric Spaces

Izhar Uddin, Sajan Aggarwal and Afrah A. N. Abdou
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Izhar Uddin: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
Sajan Aggarwal: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
Afrah A. N. Abdou: Mathematics Department, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Mathematics, 2021, vol. 9, issue 14, 1-8

Abstract: The concept of an endpoint is a relatively new concept compared to the concept of a fixed point. The aim of this paper is to perform a convergence analysis of M —iteration involving ? —Reich–Suzuki nonexpansive mappings. In this paper, we prove strong and ? —convergence theorems in a hyperbolic metric space. Thus, our results generalize and improve many existing results.

Keywords: hyperbolic metric space; ?—Riech–Suzuki nonexpansive mapping; fixed point theorems; endpoint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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