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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An interesting approach to the existence of coupled fixed point
AIMS Mathematics, 2021 Configure a coupled fixed point result on a nonempty set engaging a partial order and induced with a quasi-metric in the sense of Kunzi [12] in the framework of $\mathcal{G}$-metric spaces. Our result is supported by an illustrative example.
Pulak Konar +3 more
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Coupled Fixed Point Theorems under Weak Contractions [PDF]
Discrete Dynamics in Nature and Society, 2012 Cho et al. [Comput. Math. Appl. 61(2011), 1254–1260] studied common fixed point theorems on cone metric spaces by using the concept of c-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the ...
Y. J. Cho +3 more
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Some Coupled Fixed Point Results on Partial Metric Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.
Hassen Aydi
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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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A note on ‘Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces’ [PDF]
Fixed Point Theory and Applications, 2014 Abstract In this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair of singlevalued operators (satisfying a generalized mixed monotone property) in ...
Nurcan Bilgili +3 more
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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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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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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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Solution of differential equations with infinite delay via coupled fixed point. [PDF]
Heliyon, 2022 Mebarki K +4 more
europepmc +3 more sources