Zobrazeno 1 - 10
of 92
pro vyhledávání: '"f-metric space"'
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 15, Iss 2, Pp 314-336 (2023)
The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation R and to prove results for its fixed point. In the sequel, several classes of contractions are sharpened, generalized, a
Externí odkaz:
https://doaj.org/article/b0c36012f50d4b26aeedb8dd4c4563ec
Autor:
Amer Hassan Albargi, Jamshaid Ahmad
Publikováno v:
Axioms, Vol 13, Iss 7, p 467 (2024)
This paper introduces the concept of proximal (α,F)-contractions in F-metric spaces. We establish novel results concerning the existence and uniqueness of best proximity points for such mappings. The validity of our findings is corroborated through
Externí odkaz:
https://doaj.org/article/35e416b809fd4183988798fb397e47df
Autor:
Mohammed H. Alharbi, Jamshaid Ahmad
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27347-27362 (2023)
In this paper, we solve the existence and uniqueness of a solution for a fractional differential equation by introducing some new fixed point results for rational ($ \alpha $, $ \beta $, $ \psi $)-contractions in the framework of orthogonal $ \mathca
Externí odkaz:
https://doaj.org/article/7faed3dd4cc64ff6810fd28f072d3d46
Publikováno v:
Ratio Mathematica, Vol 51, Iss 0 (2024)
The main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the
Externí odkaz:
https://doaj.org/article/33a851968bd241dba0a3c8d933dca394
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 16887-16905 (2023)
The aim of this research article is to define locally rational contractions concerning control functions of one variable in the background of $ \mathcal{F} $-metric spaces and establish common fixed point results. We also introduce ($ \alpha ^{\ast }
Externí odkaz:
https://doaj.org/article/8535481cd5634dc4b8562454fbea4f99
Publikováno v:
Fractal and Fractional, Vol 8, Iss 6, p 318 (2024)
The main objective of this manuscript is to define the concepts of F-(⋏,h)-contraction and (α,η)-Reich type interpolative contraction in the framework of orthogonal F-metric space and prove some fixed point results. Our primary result serves as a
Externí odkaz:
https://doaj.org/article/eeed09ccebb749c7a30c047a1f7362ca
Autor:
Afrah Ahmad Noman Abdou
Publikováno v:
Fractal and Fractional, Vol 8, Iss 4, p 243 (2024)
The aim of this research is to introduce two new notions, Θ-(Ξ,h)-contraction and rational (α,η)-ψ-interpolative contraction, in the setting of F-metric space and to establish corresponding fixed point theorems. To reinforce understanding and hi
Externí odkaz:
https://doaj.org/article/9dcc33787e904158bc50e1996f2d354a
Autor:
Amer Hassan Albargi, Jamshaid Ahmad
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11572-11588 (2023)
Jleli and Samet introduced the notion of F-metric space as a generalization of traditional metric space and proved Banach contraction principle in the setting of these generalized metric spaces. The aim of this article is to utilize F-metric space an
Externí odkaz:
https://doaj.org/article/3a9fc47653d249db9cd3f7c322b54a93
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 5080-5098 (2023)
In this paper, we introduce the notion of a generalized (α, ΘF)-contraction in the context of an orthogonal F-complete metric space and obtain some new fixed point results for this newly introduced contraction. A nontrivial example is also provided
Externí odkaz:
https://doaj.org/article/80f23fc6f67a4b5191c24fdf76388018
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 4786-4805 (2023)
The aim of this article is to obtain common fixed point results for generalized contractions involving control functions of two variables in the context of F-metric spaces. We also furnish an example to show the originality of our main result. Some r
Externí odkaz:
https://doaj.org/article/79c6a75cde06463a8565bcd3e4413eab