Search results for "PPI"

showing 10 items of 7396 documents

A Suzuki type fixed point theorem for a generalized multivalued mapping on partial Hausdorff metric spaces

2013

Abstract In this paper, we obtain a Suzuki type fixed point theorem for a generalized multivalued mapping on a partial Hausdorff metric space. As a consequence of the presented results, we discuss the existence and uniqueness of the bounded solution of a functional equation arising in dynamic programming.

Discrete mathematicsInjective metric spacepartial metric spaceFixed-point theoremFixed-point propertyCommon fixed pointSchauder fixed point theoremHausdorff distanceSettore MAT/05 - Analisi Matematicamulti-valued mappingContraction mappingGeometry and TopologyBrouwer fixed-point theoremKakutani fixed-point theoremMathematicsTopology and its Applications
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Unified Metrical Common Fixed Point Theorems in 2-Metric Spaces via an Implicit Relation

2013

We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.

Discrete mathematicsLeast fixed point2-metric space common property (E.A) common limit range property weakly compatible mappings implicit relations fixed point.Metric spaceSchauder fixed point theoremArticle SubjectSettore MAT/05 - Analisi MatematicaFixed-point theoremType (model theory)Fixed-point propertyCoincidence pointFinite setMathematicsJournal of Operators
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A property of connected Baire spaces

1997

Abstract We give a topological version of a classical result of F. Sunyer Balaguer's on a local characterization of real polynomials. This is done by studying a certain property on a class of connected Baire spaces, thus allowing us to obtain a local characterization of repeated integrals of analytic maps on Banach spaces.

Discrete mathematicsLocally connectedBanach spaceBaire category theoremGeometry and TopologyBaire spaceBaire spaceOpen mapping theorem (functional analysis)Baire measureSunyer Balaguer's TheoremComplete metric spaceMathematicsTopology and its Applications
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Fixed point theory for a class of generalized nonexpansive mappings

2011

AbstractIn this paper we introduce two new classes of generalized nonexpansive mapping and we study both the existence of fixed points and their asymptotic behavior.

Discrete mathematicsMathematics::Functional AnalysisClass (set theory)Nonexpansive mappingApplied MathematicsMathematics::Optimization and ControlFixed-point theoremFixed pointFixed pointAnalysisDemiclosedness principleMathematicsJournal of Mathematical Analysis and Applications
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A unified Pietsch domination theorem

2008

In this paper we prove an abstract version of Pietsch's domination theorem which unify a number of known Pietsch-type domination theorems for classes of mappings that generalize the ideal of absolutely p-summing linear operators. A final result shows that Pietsch-type dominations are totally free from algebraic conditions, such as linearity, multilinearity, etc.

Discrete mathematicsMathematics::Functional AnalysisDomination analysisApplied MathematicsLinear operatorsBanach spacePietsch domination theoremFunctional Analysis (math.FA)Linear mapMathematics - Functional AnalysisBanach spacesFOS: MathematicsIdeal (order theory)Algebraic numberAbsolutely summing mappingsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Injective spaces of real-valued functions with the baire property

1995

Generalizing the technique used by S.A. Argyros in [3], we give a lemma from which certain Banach spaces are shown to be non-injective. This is applied mainly to study the injectivity of spaces of real-valued Borel functions and functions with the Baire property on a topological space. The results obtained in this way do not follow from previous works about this matter.

Discrete mathematicsMathematics::Functional AnalysisFréchet spaceGeneral MathematicsTopological tensor productMathematics::General TopologyInterpolation spaceBaire category theoremOpen mapping theorem (functional analysis)Baire measureTopological vector spaceComplete metric spaceMathematicsIsrael Journal of Mathematics
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Fixed point results for nonexpansive mappings on metric spaces

2015

In this paper we obtain some fixed point results for a class of nonexpansive single-valued mappings and a class of nonexpansive multi-valued mappings in the setting of a metric space. The contraction mappings in Banach sense belong to the class of nonexpansive single-valued mappings considered herein. These results are generalizations of the analogous ones in Khojasteh et al. [Abstr. Appl. Anal. 2014 (2014), Article ID 325840].

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsGeneral MathematicsFixed pointFixed pointMetric space Multi-valued mapping Picard sequenceMetric spaceSettore MAT/05 - Analisi MatematicaMetric mapSettore MAT/03 - GeometriaCoincidence pointContraction (operator theory)Mathematics
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Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings

2006

Abstract It is shown that if the modulus Γ X of nearly uniform smoothness of a reflexive Banach space satisfies Γ X ′ ( 0 ) 1 , then every bounded closed convex subset of X has the fixed point property for nonexpansive mappings. In particular, uniformly nonsquare Banach spaces have this property since they are properly included in this class of spaces. This answers a long-standing question in the theory.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsUniformly nonsquare spacesApproximation propertyEberlein–Šmulian theoremBanach spaceNonexpansive mappingsUniformly convex spaceBanach manifoldFixed-point propertyNearly uniform smoothnessFixed pointsReflexive spaceLp spaceAnalysisMathematicsJournal of Functional Analysis
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Existence theorems for m-accretive operators in Banach spaces

2005

Abstract In 1985, the second author proved a surjective result for m -accretive and ϕ -expansive mappings for uniformly smooth Banach spaces. However, in this case, we have been able to remove the uniform smoothness of the Banach space, without any additional assumption.

Discrete mathematicsMathematics::Functional AnalysisZeros for m-accretive operatorsApproximation propertySurjectivityApplied MathematicsEberlein–Šmulian theoremAccretivityUniformly convex spaceBanach manifoldFinite-rank operatorInterpolation spaceOpen mapping theorem (functional analysis)Lp spaceAnalysisMathematicsJournal of Mathematical Analysis and Applications
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A multilinear Lindenstrauss theorem

2006

Abstract We show that the set of N -linear mappings on a product of N Banach spaces such that all their Arens extensions attain their norms (at the same element) is norm dense in the space of all bounded N -linear mappings.

Discrete mathematicsMultilinear mapMathematics::Functional AnalysisEberlein–Šmulian theoremBanach spaceBanach manifoldPolynomialsBanach spacesBounded functionInterpolation spaceLp spaceBounded inverse theoremMultilinear mappingsAnalysisMathematicsJournal of Functional Analysis
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