Some fixed point results for relation theoretic weak $$\varphi $$-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations
Sign Up to like & getrecommendations! Published in 2019 at "Positivity"
DOI: 10.1007/s11117-019-00719-8
Abstract: In this paper, some fixed point results for relation theoretic weak \(\varphi \)-contractions on cone metric spaces which is defined over a Banach algebra and equipped with a binary relation are proved. These results extend… read more here.
Keywords: point results; metric spaces; relation theoretic; cone metric ... See more keywords
Relation-theoretic metrical fixed-point results via $$\varvec{w}$$w-distance with applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0462-9
Abstract: In this article, utilizing the concept of w-distance, we prove the celebrated Banach’s fixed-point theorem in metric spaces equipped with an arbitrary binary relation. Necessarily, our findings unveil another direction of relation-theoretic metrical fixed-point theory.… read more here.
Keywords: theoretic metrical; distance; metrical fixed; relation theoretic ... See more keywords
New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030117
Abstract: In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy… read more here.
Keywords: relation theoretic; fuzzy metric; fractional differential; differential equations ... See more keywords
Relation-Theoretic Weak Contractions and Applications
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11091976
Abstract: In this article, we discuss the relation-theoretic aspects of weakly contractive mappings to prove fixed point results in the setting of metric spaces endowed with a certain binary relation. We also provide an example and… read more here.
Keywords: relation theoretic; contractions applications; theoretic weak; weak contractions ... See more keywords
Relation-Theoretic Coincidence and Common Fixed Point Results in Extended Rectangular b-Metric Spaces with Applications
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081588
Abstract: The objective of this paper is to obtain new relation-theoretic coincidence and common fixed point results for some mappings F and g via hybrid contractions and auxiliary functions in extended rectangular b-metric spaces, which improve… read more here.
Keywords: fixed point; point results; coincidence common; relation theoretic ... See more keywords
Relation-Theoretic Fixed Point Theorems Involving Certain Auxiliary Functions with Applications
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14122614
Abstract: This article includes some fixed point results for (φ,ψ,θ)-contractions in the context of metric space endowed with a locally H-transitive relation. We constructed an example for attesting to the credibility of our results. We also… read more here.
Keywords: fixed point; point theorems; relation theoretic; theorems involving ... See more keywords