Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
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DOI: 10.1186/s13662-020-03132-8
Abstract: 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,… read more here.
Keywords: coupled fixed; fuzzy cone; metric spaces; cone metric ... See more keywords
Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
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DOI: 10.1515/math-2017-0062
Abstract: Abstract 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. Our results… read more here.
Keywords: coupled fixed; spaces endowed; metric spaces; directed graph ... See more keywords
Fixed point and extended coupled fixed point theorems for multi-valued contractions with respect to the Pompeiu functional
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DOI: 10.18514/mmn.2020.3118
Abstract: In this paper, we will prove some fixed point results using a Pompeiu type metric on Pcl(X), for multi-valued operators satisfying two conditions: contractivity and monotonicity. The approach is based on a fixed point theorem… read more here.
Keywords: coupled fixed; extended coupled; point; multi valued ... See more keywords
Applications of Coupled Fixed Points for Multivalued Maps in the Equilibrium in Duopoly Markets and in Aquatic Ecosystems
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DOI: 10.3390/axioms10020044
Abstract: We have obtained a new class of ordered pairs of multivalued maps that have pairs of coupled fixed points. We illustrate the main result with two examples that cover a wide range of models. We… read more here.
Keywords: coupled fixed; duopoly markets; multivalued maps; fixed points ... See more keywords
Asymptotically Coupled Coincidence Points and Asymptotically Coupled Fixed Points in Fuzzy Semi-Metric Spaces
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DOI: 10.3390/axioms11120688
Abstract: Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions. In this case, the desired… read more here.
Keywords: coincidence points; asymptotically coupled; coupled fixed; fixed points ... See more keywords
Well-Posedness Scheme for Coupled Fixed-Point Problems Using Generalized Contractions
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DOI: 10.3390/axioms12060523
Abstract: In this study, we present a more general class of rational-type contractions in the domain of Hilbert spaces, along with a novel coupled implicit relation. We develop several intriguing results and consequences for the existence… read more here.
Keywords: fixed point; posedness scheme; scheme coupled; coupled fixed ... See more keywords