Fixed point approximation for a class of generalized nonexpansive multi-valued mappings in Banach spaces

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2022-10-26 DOI:10.1007/s40065-022-00403-y

Nawab Hussain, Hind Alamri, Saud Alsulami

引用次数: 0

Abstract

In this paper, we propose a new iteration process, called multi-valued F-iteration process, for the approximation of fixed points. We introduce a new class of multi-valued generalized nonexpansive mappings satisfying a \(B_{\gamma ,\mu }\) property. Moreover, we establish certain weak and strong convergence theorems in uniformly convex Banach spaces. We also discuss the stability of the modified F-iteration process. Furthermore, a numerical example is presented to illustrate the superiority of our results.

查看原文本刊更多论文

Banach空间中一类广义非扩张多值映射的不动点逼近

在本文中，我们提出了一种新的迭代过程，称为多值F迭代过程，用于不动点的逼近。我们引入了一类满足\（B_｛\gamma，\mu｝\）性质的新的多值广义非扩张映射。此外，我们在一致凸Banach空间中建立了一些弱收敛性和强收敛性定理。我们还讨论了修正F迭代过程的稳定性。此外，还给出了一个数值例子来说明我们的结果的优越性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.