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

Isaac Karabo Letlhage; Deepak Khantwal; Rajendra Pant; Manuel De la Sen

doi:10.3390/math11204271

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

Isaac Karabo Letlhage
, Deepak Khantwal
, Rajendra Pant
, Manuel De la Sen

Mathematics and Applied Mathematics

University of Johannesburg
University of the Basque Country

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	4271
Journal	Mathematics
Volume	11
Issue number	20
DOIs	https://doi.org/10.3390/math11204271
Publication status	Published - Oct 2023

Keywords

binary relation
fixed points
metric space
relation-theoretic contraction

ASJC Scopus subject areas

Computer Science (miscellaneous)
General Mathematics
Engineering (miscellaneous)

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10.3390/math11204271

Cite this

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title = "The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps",

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.",

keywords = "binary relation, fixed points, metric space, relation-theoretic contraction",

author = "Letlhage, \{Isaac Karabo\} and Deepak Khantwal and Rajendra Pant and Sen, \{Manuel De la\}",

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doi = "10.3390/math11204271",

language = "English",

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AU - Khantwal, Deepak

AU - Pant, Rajendra

AU - Sen, Manuel De la

PY - 2023/10

Y1 - 2023/10

N2 - 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.

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KW - binary relation

KW - fixed points

KW - metric space

KW - relation-theoretic contraction

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DO - 10.3390/math11204271

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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New Mathematics Data Has Been Reported by a Researcher at University of Johannesburg (The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps)

Cite this

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Press/Media

New Mathematics Data Has Been Reported by a Researcher at University of Johannesburg (The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps)

Cite this