Strong and Δ-convergence fixed-point theorems using Noor iterations

Date

2023

Authors

Tassaddiq, Asifa
Kanwal, Shazia
Lakhani, Farha
Srivastava, Rekha

Journal Title

Journal ISSN

Volume Title

Publisher

Axioms

Abstract

A wide range of new research articles in artificial intelligence, logic programming, and other applied sciences are based on fixed-point theorems. The aim of this article is to present an approximation method for finding the fixed point of generalized Suzuki nonexpansive mappings on hyperbolic spaces. Strong and Δ-convergence theorems are proved using the Noor iterative process for generalized Suzuki nonexpansive mappings (GSNM) on uniform convex hyperbolic spaces. Due to the richness of uniform convex hyperbolic spaces, the results of this paper can be used as an extension and generalization of many famous results in Banach spaces together with CAT(0) spaces.

Description

Keywords

mappings, convergence, hyperbolic spaces, iteration process

Citation

Tassaddiq, A., Kanwal, S., Lakhani, F., & Srivastava, R. (2023). Strong and Δ-convergence fixed-point theorems using Noor iterations. Axioms, 12(3), 271. https://doi.org/10.3390/axioms12030271