The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps-Reference-Cited by-同舟云学术

The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps

Published:2023-10-13 Issue:20 Volume:11 Page:4271
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Letlhage Isaac Karabo¹,Khantwal Deepak¹^ORCID,Pant Rajendra¹^ORCID,Sen Manuel De la²^ORCID

Affiliation:

1. Department of Mathematics and Applied Mathematics, University of Johannesburg, Kingsway Campus, Auckland Park 2006, South Africa

2. Institute of Research and Development of Processes IIDP, Faculty of Science and Technology, University of the Basque Country, de Bilbao, Barrio Sarriena, 48940 Leioa, Bizkaia, Spain

Abstract

The purpose of this study is to present fixed-point results for Suzuki-type multi-valued maps using relation theory. We examine a range of implications that arise from our primary discovery. Furthermore, we present two substantial cases that illustrate the importance of our main theorem. In addition, we examine the stability of fixed-point sets for multi-valued maps and the concept of well-posedness. We present an application to a specific functional equation which arises in dynamic programming.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/20/4271/pdf

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