$FG$-coupled fixed point theorems in cone metric spaces
Karpatsʹkì 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
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Quadruple fixed point theorems for nonlinear contractions on partial metric spaces
Applied General Topology, 2014 The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property.
Erdal Karapinar, Kenan Tas
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Hybrid Coupled Fixed Point Theorems in Metric Spaces with Applications
Journal of Function Spaces, 2019 In this manuscript, using CLR property, coupled coincidence and common coupled fixed point results for two-hybrid pairs satisfying (F,φ)- contraction are demonstrated.
Muhammad Shoaib +2 more
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Coupled fixed point theorems with applications to fractional evolution equations
Advances in Difference Equations, 2017 In this paper, we first prove some coupled fixed point theorems in partially ordered Φ-orbitally complete normed linear spaces. And then apply the obtained fixed point theorems to a class of semilinear evolution systems of fractional order for proving ...
He Yang +2 more
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Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations [PDF]
Sahand 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
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Nonequilibrium Fixed Points of Coupled Ising Models [PDF]
Physical Review X, 2020 19+11 pages, 7+9 ...
Jeremy T. Young +3 more
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Fixed point and coupled fixed point theorems on b-metric-like spaces [PDF]
Journal of Inequalities and Applications, 2013 Abstract We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a b-metric-like space as well as in a partially ordered b-metric-like space.
Alghamdi, Mohammed +2 more
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Some results on the continuous dependence of coupled fixed points in a complete metric space [PDF]
European Journal of Mathematics and Applications, 2022 In paper of the author [M. O. Olatinwo; Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19(2)(2012), 71-83], the concepts of the continuous dependence of ...
M. O. Olatinwo, K. R. Tijani
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Coupled fixed point sets with data-dependence and stability [PDF]
Surveys in Mathematics and its Applications, 2022 In this paper we establish a coupled fixed point theorem of a coupled multivalued mapping defined on a complete metric space. In our result we use a new contractive inequality. There are rational terms in the expression of the inequality. The contractive
Binayak S. Choudhury +2 more
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Coupled fixed point theorems under new coupled implicit relation in Hilbert spaces
Demonstratio Mathematica, 2022 The aim of this paper is to study existence and uniqueness of coupled fixed point for a family of self-mappings satisfying a new coupled implicit relation in a Hilbert space. We also prove well-posedness of a coupled fixed point problem.
Kim Kyung Soo
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