Strong convergence to fixed points of an evolution subfamily-Reference-Cited by-同舟云学术

Strong convergence to fixed points of an evolution subfamily

Published:2023 Issue:9 Volume:8 Page:20380-20394
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Rahmat Gul¹,Shah Tariq¹,Sarwar Muhammad²,Mansour Saber³,Aydi Hassen⁴⁵⁶

Affiliation:

1. Department of Mathematics, Islamia College University Peshawar, Peshawar, Pakistan; gulrahmat@icp.edu.pk; tariqshahmaths@gmail.com

2. Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

3. Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P. O. Box 14035, Holly Makkah 21955, Saudi Arabia; samansour@uqu.edu.sa

4. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

5. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

<abstract><p>In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset $ \mathcal{D} $ of a Banach space $ \mathsf{B} $. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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