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
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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. S. M. Reddy +4 more
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Theory and Application of Fixed Point [PDF]
, 2021 In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and ...
core +1 more source
Fixed point and coupled fixed point theorems on b-metric-like spaces [PDF]
Journal of Inequalities and Applications, 2013 Abstract We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a b-metric-like space as well as in a partially ordered b-metric-like space.
Alghamdi, Mohammed +2 more
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, 2021 This paper proves the existence of a unique coupled fixed point of some type of contraction mappings defined on a complete - cone and - theta cone metric spaces; consequently, it extends and generalizes many previous coupled fixed point theorems.
Ali Bakr, Sahar Mohamed
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
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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
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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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
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Emergent strongly coupled ultraviolet fixed point in four dimensions with eight Kähler-Dirac fermions [PDF]
Physical Review D, 2022 The existence of a strongly coupled ultraviolet fixed point in 4-dimensional lattice models as they cross into the conformal window has long been hypothesized. The SU(3) gauge system with 8 fundamental fermions is a good candidate to study this phenomenon
A. Hasenfratz
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