Results 11 to 20 of about 2,303,991 (326)

$FG$-coupled fixed point theorems in cone metric spaces

open access: diamondKarpatsʹkì Matematičnì Publìkacìï, 2018
The concept of $FG$- coupled fixed point introduced recently is a generalization of coupled fixed point introduced by Guo and Lakshmikantham. A point $(x,y)\in X\times X$ is said to be a coupled fixed point of the mapping $F: X\times X \rightarrow X$ if $
E. Prajisha, P. Shaini
doaj   +3 more sources

Some coupled fixed point theorems in cone Sb-metric space

open access: gold, 2020
In this paper, we extend the definition of coupled fixed point to mappings on cone Sb-metric space and prove some coupled fixed point theorems. Our results extend the coupled fixed point results of F. Sabetghadam et al. [Some coupled fixed point theorems
K. Singh, Mritunjai Singh
openalex   +2 more sources

A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations

open access: gold, 2019
In this paper, we introduce a new coupled fixed point theorem in a generalized metric space and utilize the same to study the stability for a system of set-valued functional equations.
Ahmed H. Soliman, Ahmed M. Zidan
openalex   +2 more sources

A coupled fixed point theorem and application to fractional hybrid differential problems

open access: gold, 2016
This paper is devoted to the study of the existence of solution to the following system of fractional hybrid differential equations: {Dp[x(t)−f(t,x(t))]=g(t,y(t),Iα(y(t))),a.e. t∈J,Dp[y(t)−f(t,y(t))]=g(t,x(t),Iα(x(t))),a.e.
Tahereh Bashiri   +2 more
openalex   +2 more sources

Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

open access: yesOpen Mathematics, 2017
The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet   +2 more
doaj   +2 more sources

Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself ...
Hasan Hosseinzadeh
doaj   +1 more source

Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions

open access: yesAdvances in Mathematical Physics, 2022
By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders.
A. Salem, Noorah Mshary
semanticscholar   +1 more source

Coupled fixed point theorems on $ \mathcal{C}^\star $-algebra valued bipolar metric spaces

open access: yesAIMS Mathematics, 2022
In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An
Gunaseelan Mani   +4 more
semanticscholar   +1 more source

RELATION-THEORETIC COUPLED FIXED POINT THEOREMS

open access: yesJournal of Mathematical Analysis, 2022
In this paper, we introduce mixed R-monotone property of a mapping and utilize the same to investigate existence and uniqueness of coupled fixed points in a metric space endowed with a binary relation R.
Faruk Sk   +2 more
semanticscholar   +1 more source

Common fixed, coupled coincidence and common coupled fixed point results in hyperbolic valued metric spaces

open access: yesBoletim da Sociedade Paranaense de Matemática, 2022
In this paper, we obtain existence of unique common fixed point for a contraction mapping on hyperbolic valued metric spaces, and also develop some coupled coincidence point and common coupled fixed point results for two mappings satisfying various ...
Nilay Sager, Birsen Sağır
doaj   +1 more source

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