Zobrazeno 1 - 10
of 262
pro vyhledávání: '"w-distance"'
Autor:
Suchat Samphavat, Thanakorn Prinyasart
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract In this article, new classes of functions based on new variations of metric-preserving functions are defined. Necessary and sufficient conditions for functions to be in these classes are also provided. As a result, we can explain relations b
Externí odkaz:
https://doaj.org/article/0511a8fd23534bb988f2eae074642b09
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 12287-12304 (2024)
The goal of this paper was to improve some known results of fixed points by using $ w $-distances and properties of locally symmetric $ \mathcal{H} $-transitivity of binary relations. Also, we gave the application of the obtained results for finding
Externí odkaz:
https://doaj.org/article/e0d2b6100ce34a79b896bfeb22d59bdd
Publikováno v:
Heliyon, Vol 10, Iss 8, Pp e29345- (2024)
Based on the notion of class of CG simulation functions, we launch the concept of (ρ,ϑ)-ZG-contraction on the setting of w-distance mappings. We employ our new concept to formulate and prove several fixed point results over the complete metric spac
Externí odkaz:
https://doaj.org/article/32f77ec1639e43739719f02d490514f5
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-23 (2023)
Abstract In this paper, using the notion of w-distance in metric spaces, we introduce two types of nonlinear contractions, ( ι , ψ , φ , ϕ , p ) $(\iota ,\psi ,\varphi ,\phi ,p)$ and rational- ( ι , ψ , φ , ϕ , p ) $(\iota ,\psi , \varphi ,\p
Externí odkaz:
https://doaj.org/article/28b8a98a1c6e4d94896bd12250ec4f12
Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 939-951 (2022)
Involving ww-distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T1{T}_{1}) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. Our approach allows us t
Externí odkaz:
https://doaj.org/article/e432fc19ef0b4f27a7c280534963f095
Autor:
Akram Safari-Hafshejani
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 19, Iss 4, Pp 117-132 (2022)
In this article, we will study the existence and uniqueness of optimal common fixed points for self-mappings in metric spaces with w-distance. We obtain generalizations of the Kocev and Rako\v{c}evi\'{c} fixed point theorems. The obtained results do
Externí odkaz:
https://doaj.org/article/39084439265b4c079fcbd0285fc058e7
Autor:
Salvador Romaguera, Pedro Tirado
Publikováno v:
Mathematics, Vol 12, Iss 2, p 305 (2024)
In an outstanding article published in 2008, Suzuki obtained a nice generalization of the Banach contraction principle, from which a characterization of metric completeness was derived. Although Suzuki’s theorem has been successfully generalized an
Externí odkaz:
https://doaj.org/article/be765f31b85241228c96b9fb40db66cb
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Akademický článek
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Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-20 (2021)
Abstract We propose a new class of implicit relations and an implicit type contractive condition based on it in the relational metric spaces under w-distance functional. Further we derive fixed points results based on them. Useful examples illustrate
Externí odkaz:
https://doaj.org/article/5750b3b6117949c8a3e85d40f7892868