Search results for "c space"

showing 10 items of 552 documents

Approximate fixed points of set-valued mapping in b-metric space

2016

We establish existence results related to approximate fixed point property of special types of set-valued contraction mappings, in the setting of b-metric spaces. As consequences of the main theorem, we give some fixed point results which generalize and extend various fixed point theorems in the existing literature. A simple example illustrates the new theory. Finally, we apply our results to establishing the existence of solution for some differential and integral problems.

Discrete mathematicsAlgebra and Number Theory010102 general mathematicsb-metric space η-contraction fixed point theorem integral inclusionFixed point01 natural sciences010101 applied mathematicsSet (abstract data type)Metric spaceSettore MAT/05 - Analisi MatematicaSettore MAT/03 - Geometria0101 mathematicsComposite materialAnalysisMathematics
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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
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Basic Sequences in the Dual of a Fréchet Space

2001

Discrete mathematicsAlgebrac spaceBs spaceFréchet spaceGeneral MathematicsReflexive spaceOperator spaceSequence spaceComplete metric spaceMathematicsDual (category theory)Mathematische Nachrichten
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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
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Set-Valued Generalizations of Baire′s Category Theorem

1995

Abstract We prove some generalizations of Baire′s category theorem for chains of iterates of multifunctions defined on Cech-complete spaces. In particular, we extend Lennard′s results stated for functions on complete metric spaces.

Discrete mathematicsApplied MathematicsMathematics::General TopologyBaire spaceBaire measureComplete metric spaceS categoryMetric spaceIterated functionMathematics::Category TheoryBaire category theoremOpen mapping theorem (functional analysis)AnalysisMathematicsJournal of Mathematical Analysis and Applications
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A note on best approximation in 0-complete partial metric spaces

2014

We study the existence and uniqueness of best proximity points in the setting of 0-complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. We introduce some new concepts and consider significant theorems to support this fact.

Discrete mathematicsArticle SubjectApplied MathematicsInjective metric spacelcsh:MathematicsT-normlcsh:QA1-939Intrinsic metricConvex metric spaceUniform continuityMetric spaceFréchet spaceSettore MAT/05 - Analisi Matematica0-completeness best proximity point fixed point partial metric spaceMetric (mathematics)AnalysisMathematics
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Common Fixed Points in a Partially Ordered Partial Metric Space

2013

In the first part of this paper, we prove some generalized versions of the result of Matthews in (Matthews, 1994) using different types of conditions in partially ordered partial metric spaces for dominated self-mappings or in partial metric spaces for self-mappings. In the second part, using our results, we deduce a characterization of partial metric 0-completeness in terms of fixed point theory. This result extends the Subrahmanyam characterization of metric completeness.

Discrete mathematicsArticle SubjectInjective metric spacelcsh:MathematicsEquivalence of metricslcsh:QA1-939Fixed points dominated self-mappings 0-completenessConvex metric spaceIntrinsic metricCombinatoricsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric differentialFisher information metricMathematicsInternational Journal of Analysis
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On a theorem of Khan in a generalized metric space

2013

Existence and uniqueness of fixed points are established for a mapping satisfying a contractive condition involving a rational expression on a generalized metric space. Several particular cases and applications as well as some illustrative examples are given.

Discrete mathematicsArticle Subjectlcsh:MathematicsInjective metric spacerational expression.Pseudometric spaceFixed pointFixed pointlcsh:QA1-939Convex metric spaceMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Uniquenessgeneralized metric spaceMetric differentialMathematics
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Capabilities of Ultrametric Automata with One, Two, and Three States

2016

Ultrametric automata use p-adic numbers to describe the random branching of the process of computation. Previous research has shown that ultrametric automata can have a significant decrease in computing complexity. In this paper we consider the languages that can be recognized by one-way ultrametric automata with one, two, and three states. We also show an example of a promise problem that can be solved by ultrametric integral automaton with three states.

Discrete mathematicsBinary treeComputationPrime number020206 networking & telecommunications02 engineering and technologyNonlinear Sciences::Cellular Automata and Lattice GasesCondensed Matter::Disordered Systems and Neural NetworksAutomatonTuring machinesymbols.namesakeRegular language0202 electrical engineering electronic engineering information engineeringsymbolsMathematics::Metric Geometry020201 artificial intelligence & image processingPromise problemUltrametric spaceComputer Science::DatabasesComputer Science::Formal Languages and Automata TheoryMathematics
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Fixed points for multivalued mappings in b-metric spaces

2015

In 2012, Samet et al. introduced the notion ofα-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to study the existence of fixed points for multivalued mappings, under anα-ψ-contractive condition of Ćirić type, in the setting of completeb-metric spaces. An application to integral equation is given.

Discrete mathematicsClass (set theory)Article Subjectlcsh:MathematicsApplied Mathematicsalpha-admissible multivalued mapping b-metric space fixed point integral equation.Fixed pointType (model theory)lcsh:QA1-939Integral equationMetric spaceSettore MAT/03 - GeometriaAnalysisMathematics
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