A new iterative algorithm for Suzuki generalized nonexpansive mapping in hyperbolic space

Jaynendra Shrivas, Priya Chandraker

Abstract


In this paper, we provide certain fixed point results for a Suzuki’s generalized nonexpansive mapping, as well as a new iterative algorithm for approximating the fixed point of this class of mappings in the setting of hyperbolic spaces. Furthermore, we establish strong and ∆-converges theorem for Suzuki’s generalized nonexpansive mapping in hyperbolic space. Finally, we present a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature. Our results obtained in this paper improve, extend and unify some related results in the literature.

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Published: 2024-03-18

How to Cite this Article:

Jaynendra Shrivas, Priya Chandraker, A new iterative algorithm for Suzuki generalized nonexpansive mapping in hyperbolic space, Eng. Math. Lett., 2024 (2024), Article ID 2

Copyright © 2024 Jaynendra Shrivas, Priya Chandraker. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

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