Coupled fixed point theorems on $ \mathcal{C}^\star $-algebra valued bipolar metric spaces
AIMS Mathematics, 2022 In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An
Gunaseelan Mani +4 more
semanticscholar +1 more source
Coupled fixed point theorems of JS-G-contraction on G-metric spaces
Boletim da Sociedade Paranaense de Matemática, 2022 Jaradat has proven some fixed point results using JS-G-contraction on $G-$metric spaces. Choudhury et al. were derived coupled fixed point theorems for the $G-$metric spaces. The purpose of this paper is to prove some coupled fixed point theorems of JS-G-
G. Reddy +4 more
semanticscholar +1 more source
Coupled fixed point theorems for mixed -monotone mappings in partially ordered metric spaces [PDF]
, 2013 WOS: 000209290100001In this paper, we prove some coupled coincidence point results for mixed g-monotone mappings in partially ordered metric spaces.
Muzeyyen Sangurlu +4 more
core +3 more sources
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
doaj
Mathematics, 2020 In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs.
Babak Mohammadi +4 more
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On generalized coupled fixed points with applications to the solvability of coupled systems of nonlinear quadratic integral equations [PDF]
, 2018 In this paper, we introduce the notion of generalized coupled fixed points and, as a consequence of Darbo’s fixed point theorem associated to an abstract measure of noncompactness, we present a result about the existence of this class of coupled fixed ...
Darwish, Mohamed Abdalla +1 more
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Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α -Admissible F ψ
Discrete Dynamics in Nature and Society, 2020 In this paper, we investigate the existence of a unique coupled fixed point for α − admissible mapping which is of
E. Karapınar +3 more
semanticscholar +1 more source
Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators [PDF]
Fixed Point Theory and Applications, 2013 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 ...
Petruşel, Adrian +2 more
openaire +1 more source
α-Coupled Fixed Points and Their Application in Dynamic Programming [PDF]
Abstract and Applied Analysis, 2014 We introduce the definition ofα-coupled fixed point in the space of the bounded functions on a setSand we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic ...
Harjani, J., Rocha, J., Sadarangani, K.
openaire +5 more sources
Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications
Fixed Point Theory and Applications, 2018 In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fixed point ...
Seonghoon Cho
doaj +1 more source