Some fixed point results for relation theoretic weak $$\varphi $$-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations
Sign Up to like & getrecommendations! Published in 2019 at "Positivity"
DOI: 10.1007/s11117-019-00719-8
Abstract: In this paper, some fixed point results for relation theoretic weak \(\varphi \)-contractions on cone metric spaces which is defined over a Banach algebra and equipped with a binary relation are proved. These results extend… read more here.
Keywords: point results; metric spaces; relation theoretic; cone metric ... See more keywords
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
SOME FIXED POINT THEOREMS FOR CONTRACTIVE MAPPINGS ON ORDERED ORTHOGONAL CONE METRIC SPACES
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DOI: 10.33773/jum.636750
Abstract: Very recently, orthogonal cone metric spaces, orthogonal completeness and orthogonal continuity are described in \cite{BG2019MS}. Also some fixed point theorems and their conclusions are proved on orthogonal cone metric spaces in there. In this paper,… read more here.
Keywords: fixed point; metric spaces; cone metric; point theorems ... See more keywords
On Generalized Hardy-Rogers Type α-Admissible Mappings in Cone b-Metric Spaces over Banach Algebras
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DOI: 10.3390/sym12010081
Abstract: We introduce the notion of α -admissibility of mappings on cone b-metric spaces using Banach algebra with coefficient s, and establish a result of the Hardy-Rogers theorem in these spaces. Furthermore, using symmetry, we derive… read more here.
Keywords: generalized hardy; mappings cone; metric spaces; cone metric ... See more keywords
Fixed Point and Homotopy Methods in Cone A-Metric Spaces and Application to the Existence of Solutions to Urysohn Integral Equation
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DOI: 10.3390/sym14071328
Abstract: The purpose of this article is to introduce an ordered implicit relation that can be used for the existence of fixed points of new contractions defined in cone A-metric spaces. We investigate a fixed-point method… read more here.
Keywords: existence; urysohn integral; fixed point; cone metric ... See more keywords
Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces
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DOI: 10.3390/sym15010094
Abstract: In order to solve issues that arise in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization issues, equilibrium problems, complementarity issues, selection and matching problems, and issues proving… read more here.
Keywords: neutrosophic cone; generalized neutrosophic; cone metric; solution ... See more keywords