Approximation of fixed points for a new class of generalized non-expansive mappings in Banach spaces-Reference-Cited by-同舟云学术

Approximation of fixed points for a new class of generalized non-expansive mappings in Banach spaces

Published:2024 Issue:5 Volume:9 Page:11958-11974
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Abdeljawad Thabet¹²³⁴,Karaca Nazli Kadioglu⁵,Yildirim Isa⁵,Mukheimer Aiman¹

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia

2. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

3. Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

4. Department of Mathematics and Applied Mathematics School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

5. Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey

Abstract

<abstract><p>In this paper, we first introduced a new class of generalized non-expansive mappings, which was larger than the class satisfying the condition $ B_{\gamma, \mu } $. Also, we proposed a new iterative process to approximate the fixed point of the mapping we introduced in this work, then we prove convergence theorems for these mappings by using our iteration process. Lastly, a numerical example was given to show the efficiency of this new iteration process. Our results were the extension and generalization of many known results in the literature in fixed point theory.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference34 articles.

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