Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces

نویسندگان

چکیده

Abstract The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems generalized nonexpansive mappings in the framework uniformly convex Banach spaces. addition, discuss stability solution under mild conditions. Further, provide some numerical examples indicate that proposed method works properly.

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ژورنال

عنوان ژورنال: Open Mathematics

سال: 2022

ISSN: ['2391-5455']

DOI: https://doi.org/10.1515/math-2022-0461