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A new iteration method for fixed point of nonexpansive mapping in uniformly convex Banach space

Omprakash Sahu|Amitabh Banerjee|Niyati Gurudwan
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.12|한국수학논문집 (Korean Journal of Mathematics)|제30권 제4호|pp. 665-678

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참고문헌

키워드

StabilityFixed PointNonexpansive mappingUniformly convex Banach spaceContractive like mapping
주제분류수학

초록

The aim of this paper is to introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established 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 convergence results for the approximation of the fixed points of a nonexpansive mapping.

Abstract

The aim of this paper is to introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established 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 convergence results for the approximation of the fixed points of a nonexpansive mapping.

참고문헌 (28)

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