Back to Search Start Over

A contribution to best proximity point theory and an application to partial differential equation.

Authors :
Termkaew, Sakan
Chaipunya, Parin
Gopal, Dhananjay
Kumam, Poom
Source :
Optimization; Jul2024, Vol. 73 Issue 7, p2187-2219, 33p
Publication Year :
2024

Abstract

In this work, the main discussion centres on avoiding the use of triangle inequality while proving Cauchy sequence to establish best proximity point theorems for single valued as well as multivalued non-self mappings. We prove such best proximity point theorems in the setting of non-triangular metric spaces and elaborate through examples. In this process host of the existing best proximity results are generalized and improved. To arouse further interest in the subject, we connect this work in solving a specific type of partial differential equation problem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02331934
Volume :
73
Issue :
7
Database :
Complementary Index
Journal :
Optimization
Publication Type :
Academic Journal
Accession number :
177713899
Full Text :
https://doi.org/10.1080/02331934.2023.2191620