Results 1 to 10 of about 754,517 (315)
On Orthogonal Coupled Fixed Point Results with an Application [PDF]
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 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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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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Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces [PDF]
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, $F$-invariant set and fixed point of $N$-order [PDF]
Annals of Functional Analysis, 2010 In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of $F$-invariant set. We introduce the notion of fixed point of $N$-order as natural extension of that of coupled fixed point. As applications, we discuss and adapt the presented results to the setting of partially ordered cone ...
Calogero Vetro, Bessem Samet
exaly +5 more sources
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 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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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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RELATION-THEORETIC COUPLED FIXED POINT THEOREMS
Journal 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 +2 more sources