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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Vydáno v:Axioms Ročník 10; číslo 2; s. 50
Hlavní autoři: Ali, Based, Imdad, Mohammad, Sessa, Salvatore
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 2021
Témata:
binary relations
Boundary value problems
fixed points
Fixed points (mathematics)
Graphs
regular spaces
symmetric spaces
T-transitivity
Theorems
ISSN:2075-1680, 2075-1680
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ObjectType-Feature-2
content type line 14
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms10020050