On Orthogonal Coupled Fixed Point Results with an Application
Journal of Function Spaces, 2022 In this manuscript, owing to the concept of orthogonal coupled contraction mappings type I and II, we prove coupled fixed point theorem in orthogonal metric spaces. In order to strengthen our main results, a suitable example is presented.
Gunaseelan Mani +3 more
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$FG$-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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Coupled Fixed Point Results in Complete Partial Metric Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We establish some coupled fixed point theorems for a mapping satisfying some contraction conditions in complete partial metric spaces. Our consequences extend the results of H. Aydi (2011).
H. Alaeidizaji, V. Parvaneh
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An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”
Abstract and Applied Analysis, 2014 We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and
Hamed H. Alsulami +3 more
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Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces'' [PDF]
Mathematics Interdisciplinary Research, 2017 In this paper, we improve some recent coupled fixed point results for single-valued operators in the framework of ordered b-metric spaces established by Bota et al. [M-F. Bota, A. Petrusel, G. Petrusel and B.
Zoran Kadelburg +2 more
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Results of coupled iterative fixed point approximation
Annals of Mathematics and Computer ScienceLet X be a Banach space and F a subset of X. In this paper, we showed weak and strong convergence theorems for a Krasnoselskij-type iterative method to approximate coupled solution of nonexpansive operator E: FxF-> F, where F is nonempty, depending on two variables.
Afeez Oyekanmi, K. Rauf
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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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Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions [PDF]
, 2018 Ultraviolet fixed point functions of the functional renormalisation group equation for $f(R)$-gravity coupled to matter fields are discussed. The metric is split via the exponential parameterisation into a background and a fluctuating metric, the former ...
Alkofer, Natalia
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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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