Search results for "Convex metric space"

showing 10 items of 69 documents

Common fixed points of g-quasicontractions and related mappings in 0-complete partial metric spaces

2012

Abstract Common fixed point results are obtained in 0-complete partial metric spaces under various contractive conditions, including g-quasicontractions and mappings with a contractive iterate. In this way, several results obtained recently are generalized. Examples are provided when these results can be applied and neither corresponding metric results nor the results with the standard completeness assumption of the underlying partial metric space can. MSC:47H10, 54H25.

0-complete spaceDiscrete mathematicsInjective metric spaceApplied Mathematicspartial metric space010102 general mathematicsquasicontraction.common fixed pointEquivalence of metrics01 natural sciencesIntrinsic metricConvex metric space010101 applied mathematicsMetric spacefixed pointSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and Topology0101 mathematicsMetric differentialFisher information metricMathematicsFixed Point Theory and Applications
researchProduct

Best approximation and variational inequality problems involving a simulation function

2016

We prove the existence of a g-best proximity point for a pair of mappings, by using suitable hypotheses on a metric space. Moreover, we establish some convergence results for a variational inequality problem, by using the variational characterization of metric projections in a real Hilbert space. Our results are applicable to classical problems of optimization theory.

Applied Mathematics010102 general mathematicsMathematical analysisHilbert spacebest proximity pointFunction (mathematics)variational inequality01 natural sciencesmetric projectionConvex metric space010101 applied mathematicssymbols.namesakeMetric spaceDifferential geometrySettore MAT/05 - Analisi MatematicaVariational inequalityMetric (mathematics)proximal Z-contractionsymbolsApplied mathematicsContraction mappingGeometry and TopologySettore MAT/03 - Geometria0101 mathematicsMathematics
researchProduct

Fixed points in weak non-Archimedean fuzzy metric spaces

2011

Mihet [Fuzzy $\psi$-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems, 159 (2008) 739-744] proved a theorem which assures the existence of a fixed point for fuzzy $\psi$-contractive mappings in the framework of complete non-Archimedean fuzzy metric spaces. Motivated by this, we introduce a notion of weak non-Archimedean fuzzy metric space and prove that the weak non-Archimedean fuzzy metric induces a Hausdorff topology. We utilize this new notion to obtain some common fixed point results for a pair of generalized contractive type mappings.

Common fixed points Weak non-Archimedean fuzzy metric spaces Fuzzy contractive mappingsDiscrete mathematicsFuzzy classificationMathematics::General MathematicsLogicInjective metric spaceT-normFuzzy subalgebraIntrinsic metricConvex metric spaceComputingMethodologies_PATTERNRECOGNITIONSettore MAT/05 - Analisi MatematicaArtificial IntelligenceFuzzy set operationsFuzzy numberComputingMethodologies_GENERALMathematicsFuzzy Sets and Systems
researchProduct

$varphi$-pairs and common fixed points in cone metric spaces

2008

In this paper we introduce a contractive condition, called $\varphi \textrm{-}pair$, for two mappings in the framework of cone metric spaces and we prove a theorem which assures existence and uniqueness of common fixed points for $\varphi \textrm{-}pairs$. Also we obtain a result on points of coincidence. These results extend and generalize well-known comparable results in the literature.

Cone metric spaces \and $\varphi$-pairs \and Common fixed points \and Coincidence pointsPure mathematicsGeneral MathematicsInjective metric spaceMathematical analysisFixed pointIntrinsic metricConvex metric spaceMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapMathematics
researchProduct

Common fixed points in cone metric spaces for CJM-pairs

2011

Abstract In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f - M K -pair mappings and f - C J M -pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.

Cone metric spaces CJM-pairs Common fixed points Common coincidence points.Injective metric spaceMathematical analysisMathematics::General TopologyFixed pointComputer Science ApplicationsIntrinsic metricConvex metric spaceCombinatoricsMetric spaceCone (topology)Settore MAT/05 - Analisi MatematicaModeling and SimulationUniquenessCoincidence pointMathematicsMathematical and Computer Modelling
researchProduct

Invariant approximation results in cone metric spaces

2011

‎Some sufficient conditions for the existence of fixed point of mappings‎ ‎satisfying generalized weak contractive conditions is obtained‎. ‎A fixed‎ ‎point theorem for nonexpansive mappings is also obtained‎. ‎As an application‎, ‎some invariant approximation results are derived in cone metric spaces‎.

Control and OptimizationAlgebra and Number TheoryInjective metric spaceTangent coneMathematical analysis‎non normal cone‎54C60‎54H25‎‎orbitally continuous‎cone metric spacesIntrinsic metricConvex metric spaceFixed pointsMetric space‎46B40Dual cone and polar coneSettore MAT/05 - Analisi MatematicaMetric map‎invariant‎ ‎approximationInvariant (mathematics)Fixed points orbitally continuous invariant approximation cone metric spaces non normal cone.47H10AnalysisMathematics
researchProduct

Strictly convex metric spaces with round balls and fixed points

2005

Convex hullConvex analysisStrictly convex spaceCombinatoricsInjective metric spaceMathematical analysisConvex setConvex bodyConvex combinationConvex metric spaceMathematicsBanach Center Publications
researchProduct

From fuzzy metric spaces to modular metric spaces: a fixed point approach

2017

We propose an intuitive theorem which uses some concepts of auxiliary functions for establishing existence and uniqueness of the fixed point of a self-mapping. First we work in the setting of fuzzy metric spaces in the sense of George and Veeramani, then we deduce some consequences in modular metric spaces. Finally, a sample homotopy result is derived making use of the main theorem.

Discrete mathematics021103 operations researchAlgebra and Number TheoryInjective metric space0211 other engineering and technologiesT-norm02 engineering and technologyEquivalence of metrics01 natural sciencesIntrinsic metricConvex metric space010101 applied mathematicsMetric spaceFixed point fuzzy metric space modular metric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric mapSettore MAT/03 - Geometria0101 mathematicsAnalysisMathematicsThe Journal of Nonlinear Sciences and Applications
researchProduct

Common Fixed points for multivalued generalized contractions on partial metric spaces

2013

We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric spaces. We motivate our results by some given examples and an application for finding the solution of a functional equation arising in dynamic programming.

Discrete mathematicsAlgebra and Number TheoryApplied MathematicsInjective metric spaceFubini–Study metricIntrinsic metricConvex metric spaceComputational MathematicsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and TopologyCommon fixed point partial metric space partial Hausdorff metric weak contraction.Metric differentialAnalysisFisher information metricMathematics
researchProduct

Some fixed point theorems for generalized contractive mappings in complete metric spaces

2015

We introduce new concepts of generalized contractive and generalized alpha-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich.

Discrete mathematicsApplied MathematicsFixed-point theoremProduct metricFixed pointComplete metric spaceConvex metric spaceMetric spaceDifferential geometryfixed pointSettore MAT/05 - Analisi Matematicacomplete metric spaceweak C-contractionGeometry and TopologyCoincidence pointMathematicsFixed Point Theory and Applications
researchProduct