A Relation-Theoretic Matkowski-Type Theorem in Symmetric Spaces

In this paper, we present a fixed-point theorem in R-complete regular symmetric spaces endowed with a locally T-transitive binary relation R using comparison functions that generalizes several relevant existing results. In addition, we adopt an example to substantiate the genuineness of our newly pr...

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Bibliographic Details
Published in:Axioms Vol. 10; no. 2; p. 50
Main Authors: Ali, Based, Imdad, Mohammad, Sessa, Salvatore
Format: Journal Article
Language:English
Published: Basel MDPI AG 2021
Subjects:
binary relations
Boundary value problems
fixed points
Fixed points (mathematics)
Graphs
regular spaces
symmetric spaces
T-transitivity
Theorems
ISSN:2075-1680, 2075-1680
Online Access:Get full text
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Summary:In this paper, we present a fixed-point theorem in R-complete regular symmetric spaces endowed with a locally T-transitive binary relation R using comparison functions that generalizes several relevant existing results. In addition, we adopt an example to substantiate the genuineness of our newly proved result. Finally, as an application of our main result, we establish the existence and uniqueness of a solution of a periodic boundary value problem.
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ISSN:2075-1680
2075-1680
DOI:10.3390/axioms10020050