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Coupled fixed point theorems under new coupled implicit relation in Hilbert spaces [PDF]
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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Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
Open 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
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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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Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces [PDF]
Mathematics, 2020 The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces.
Vishal Gupta +2 more
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Coupled Fixed Point Results in Banach Spaces with Applications
Mathematics, 2021 The aim of this work is to discuss the existence of solutions to the system of fractional variable order hybrid differential equations. For this reason, we establish coupled fixed point results in Banach spaces.
Mian Bahadur Zada +3 more
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Advances in Difference Equations, 2020 In this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled ...
Gui-Xiu Chen +6 more
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Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces
Journal of Mathematics, 2021 This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the ...
Sahar Mohamed Ali Abou Bakr
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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 Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions [PDF]
Abstract and Applied Analysis, 2012 We prove coupled coincidence point and coupled fixed point results of 𝐹∶𝑋×𝑋→𝑋 and 𝑔∶𝑋→𝑋 involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature.
Hassen Aydi +2 more
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Some stability results for coupled fixed point iterative process in a complete metric space [PDF]
Surveys in Mathematics and its Applications, 2019 In the paper [M. O. Olatinwo, Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19 (2012), 71-83], the author has extended the notion of stability of fixed ...
M. O. Olatinwo, K. R. Tijani
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