Search results for "partial metric space"

showing 10 items of 31 documents

On Ekeland's variational principle in partial metric spaces

2015

In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of parti al metric spaces. As consequences of our results, we obtain some fixed p oint theorems of Caristi and Clarke types.

Numerical AnalysisPure mathematicsClass (set theory)Applied MathematicsMathematical analysisFixed-point theoremEkeland's variational principleComputer Science ApplicationsMetric spaceComputational Theory and MathematicsVariational principleSettore MAT/05 - Analisi MatematicaEkeland's principle fixed point theory lower-semi continuity partial metric space.AnalysisMathematics
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Fixed points for weak alpha-psi-contractions in partial metric spaces

2013

Recently, Samet et al. (2012) introduced the notion of $\alpha $ - $\psi $ -contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weak $\alpha $ - $\psi $ -contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al.

Partial metric space fixed point alpha-psi-contractive mapping weak alpha-psi-contractive mapping.Settore MAT/03 - Geometria
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COMMON FIXED POINTS FOR psi-CONTRACTIONS ON PARTIAL METRIC SPACES

2013

We prove some generalized versions of an interesting result of Matthews using conditions of different type in 0-complete partial metric spaces. We give, also, a homotopy result for operators on partial metric spaces.

Points of coincidence0-complete partial metric spaceSettore MAT/05 - Analisi Matematicapsi-contractionscommon fixed point
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phi-Best proximity point theorems and applications to variational inequality problems

2017

The main concern of this study is to introduce the notion of $$\varphi $$ -best proximity points and establish the existence and uniqueness of $$\varphi $$ -best proximity point for non-self mappings satisfying $$(F,\varphi )$$ -proximal and $$(F,\varphi )$$ -weak proximal contraction conditions in the context of complete metric spaces. Some examples are supplied to support the usability of our results. As applications of the obtained results, some new best proximity point results in partial metric spaces are presented. Furthermore, sufficient conditions to ensure the existence of a unique solution for a variational inequality problem are also discussed.

Pure mathematics0211 other engineering and technologies(F ?)-weak proximal contractionContext (language use)02 engineering and technologyvariational inequality01 natural sciencesmetric projection?-best proximity point(F ?) -proximal contractionSettore MAT/05 - Analisi Matematica(Fϕ)-proximal contractionphi-best proximity pointPoint (geometry)Uniqueness0101 mathematicsMathematics021103 operations research(F phi)-weak proximal contractionApplied Mathematics010102 general mathematicsMathematical analysispartial metric space(F phi)-proximal contractionProximal contractionMetric spaceModeling and SimulationVariational inequality(Fϕ )-weak proximal contractionGeometry and Topology
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Common fixed points of mappings satisfying implicit relations in partial metric spaces

2013

Matthews, [S. G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197], introduced and studied the concept of partial metric space, as a part of the study of denotational semantics of dataflow networks. He also obtained a Banach type fixed point theorem on complete partial metric spaces. Very recently Berinde and Vetro, [V. Berinde, F. Vetro, Common fixed points of mappings satisfying implicit contractive conditions, Fixed Point Theory and Applications 2012, 2012:105], discussed, in the setting of metric and ordered metric spaces, coincidence point and common fixed point theorems fo…

Pure mathematicsAlgebra and Number TheoryDataflowCoincidence point common fixed point contraction implicit relation partial metric space.Fixed-point theoremFixed pointMetric spaceDenotational semanticsSettore MAT/05 - Analisi MatematicaCommon fixed pointGeneral topologyCoincidence pointAnalysisMathematicsJournal of Nonlinear Sciences and Applications
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Fixed points for Geraghty-Contractions in partial metric spaces

2015

We establish some fixed point theorems for mappings satisfying Geraghty-type contractive conditions in the setting of partial metric spaces and ordered partial metric spaces. Presented theorems extend and generalize many existing results in the literature. Examples are given showing that these results are proper extensions of the existing ones. c ©2014 All rights reserved.

Pure mathematicsAlgebra and Number TheoryInjective metric spaceEquivalence of metricsCoincidence point partial metric space ordered partial metric space Geraghty-type contractive condition fixed point.TopologyIntrinsic metricConvex metric spaceUniform continuityMetric spaceSettore MAT/05 - Analisi MatematicaFréchet spaceMetric mapAnalysisMathematicsJournal of Nonlinear Sciences and Applications
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From metric spaces to partial metric spaces

2013

Motivated by experience from computer science, Matthews (1994) introduced a nonzero self-distance called a partial metric. He also extended the Banach contraction principle to the setting of partial metric spaces. In this paper, we show that fixed point theorems on partial metric spaces (including the Matthews fixed point theorem) can be deduced from fixed point theorems on metric spaces. New fixed point theorems on metric spaces are established and analogous results on partial metric spaces are deduced. MSC:47H10, 54H25.

Pure mathematicsInjective metric spaceApplied MathematicsMathematical analysismetric spacepartial metric spaceEquivalence of metricsIntrinsic metricConvex metric spaceMetric spaceUniform continuityfixed pointFréchet spaceSettore MAT/05 - Analisi MatematicaMetric mapGeometry and TopologyMathematicsFixed Point Theory and Applications
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Common fixed points of generalized Mizoguchi-Takahashi type contractions in partial metric spaces

2015

We give some common fixed point results for multivalued mappings in the setting of complete partial metric spaces. Our theorems extend and complement analogous results in the existing literature on metric and partial metric spaces. Finally, we provide an example to illustrate the new theory.

Settore MAT/05 - Analisi MatematicaCommon fixed point fixed point multivalued mapping partial metric space
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Fixed points for weak $\varphi$-contractions on partial metric spaces

2011

In this paper, following [W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003) 79-89], we give a fixed point result for cyclic weak $\varphi$-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak $\varphi$-contractions is also given.

Settore MAT/05 - Analisi MatematicaFixed points Partial metric space Weak cyclic $\varphi$-contractions.
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Coupled fixed point theorems for symmetric (phi,psi)-weakly contractive mappings in ordered partial metric spaces

2013

We establish some coupled fixed point theorems for symmetric (phi,chi)-weakly contractive mappings in ordered partial metric spaces. Some recent results of Berinde (Nonlinear Anal. 74 (2011), 7347-7355; Nonlinear Anal. 75 (2012), 3218-3228) and many others are extended and generalized to the class of ordered partial metric spaces.

coupled fixed pointSettore MAT/05 - Analisi Matematicapartial metric spacecontractionmixed monotone property
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