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Approximation results of a three step iteration method in Banach space

Omprakash Sahu|Amitabh Banerjee
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.09|한국수학논문집 (Korean Journal of Mathematics)|제31권 제3호|pp. 269-294

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참고문헌

키워드

StabilityNonexpansive mappingUniformly convex Banach spaceContractive like mappingWeak ConvergenceStrong Convergence.
주제분류수학

초록

The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

Abstract

The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

참고문헌 (26)

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