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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 2022 한국수학논문집 Vol.30 No.4
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.
Omprakash Sahu,Amitabh Banerjee,Niyati Gurudwan 강원경기수학회 2023 한국수학논문집 Vol.31 No.1
The research article was published in your journal, Volume {\bf 30} (2022), N0. 4, pp. 665-678, but there are some citation errors on page numbers 670, 674-676.
Approximation results of a three step iteration method in Banach space
Omprakash Sahu,Amitabh Banerjee 강원경기수학회 2023 한국수학논문집 Vol.31 No.3
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.