Search results for "FIX"

showing 10 items of 1335 documents

Linear quotients of Artinian Weak Lefschetz algebras

2013

Abstract We study the Hilbert function and the graded Betti numbers for “generic” linear quotients of Artinian standard graded algebras, especially in the case of Weak Lefschetz algebras. Moreover, we investigate a particular property of Weak Lefschetz algebras, the Betti Weak Lefschetz Property, which makes possible to completely determine the graded Betti numbers of a generic linear quotient of such algebras.

Discrete mathematicsPure mathematicsHilbert series and Hilbert polynomialAlgebra and Number TheoryProperty (philosophy)Mathematics::Commutative AlgebraBetti numberBetti Weak Lefschetz PropertyMathematics::Rings and AlgebrasArtinian algebraLinear quotientWeak Lefschetz Propertysymbols.namesakeQuotientWeak Lefschetz; Artinian algebra; QuotientsymbolsWeak Lefschetz Property Artinian algebra Linear quotientLefschetz fixed-point theoremWeak LefschetzMathematics::Symplectic GeometryQuotientMathematics
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Fixed point theorems for -contractive type mappings

2012

Abstract In this paper, we introduce a new concept of α – ψ -contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces. Starting from the Banach contraction principle, the presented theorems extend, generalize and improve many existing results in the literature. Moreover, some examples and applications to ordinary differential equations are given here to illustrate the usability of the obtained results.

Discrete mathematicsPure mathematicsMetric spaceApplied MathematicsOrdinary differential equationFixed-point theoremType (model theory)Contraction principleFixed pointFixed-point propertyCoincidence pointAnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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Best proximity point theorems for rational proximal contractions

2013

Abstract We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results. MSC:41A65, 46B20, 47H10.

Discrete mathematicsPure mathematicsMetric spaceDifferential geometrySettore MAT/05 - Analisi MatematicaApplied MathematicsProximity problemsUniquenessGeometry and TopologyFixed pointPoint theorybest proximity point contraction fixed point generalized proximal contraction optimal approximate solutionMathematicsFixed Point Theory and Applications
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Fixed point for cyclic weak (\psi, C)-contractions in 0-complete partial metric spaces

2013

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 (ψ,C)-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak (ψ,C)-contractions is also given.

Discrete mathematicsPure mathematicsMetric spaceSchauder fixed point theoremGeneral MathematicsFixed-point theoremFixed points partial metric spaces weak cyclic φ-contractions.Settore MAT/03 - GeometriaFixed pointType (model theory)Fixed-point propertyMathematics
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Some fixed point results for multi-valued mappings in partial metric spaces

2013

Abstract In this paper, we obtain some fixed point results for multi-valued mappings in partial metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. An example is also included to illustrate the main result in the paper. MSC:46S40, 47H10, 54H25.

Discrete mathematicsPure mathematicscompleteness.Injective metric spaceApplied MathematicsIntrinsic metricConvex metric spaceMetric spacefixed pointSettore MAT/05 - Analisi Matematicamulti-valued mappingMetric (mathematics)partial Hausdorff metricMetric mapGeometry and TopologyMetric differentialCoincidence pointMathematics
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Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness

2012

Abstract We present some extension of a well-known fixed point theorem due to Burton and Kirk [T.A. Burton, C. Kirk, A fixed point theorem of Krasnoselskii–Schaefer type, Math. Nachr. 189 (1998) 423–431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The novelty of our results is that the involved operators need not to be weakly continuous. Finally, an example is given to illustrate our results.

Discrete mathematicsQuantitative Biology::Neurons and CognitionPicard–Lindelöf theoremApplied MathematicsFixed-point theoremFixed-point propertyKrasnoselskii fixed point theoremSchauder fixed point theoremNonlinear integral equationsMeasure of weak noncompactnessBrouwer fixed-point theoremKakutani fixed-point theoremContraction (operator theory)Nonlinear operatorsAnalysisMathematicsJournal of Differential Equations
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On the stability of the Bohl — Brouwer — Schauder Theorem

1996

Discrete mathematicsSchauder fixed point theoremDual spaceApplied MathematicsLocally convex topological vector spaceFixed pointKakutani fixed-point theoremReflexive spaceAnalysisComplete metric spaceTopological vector spaceMathematicsNonlinear Analysis: Theory, Methods & Applications
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Caristi Type Selections of Multivalued Mappings

2015

Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.

Discrete mathematicsSelection (relational algebra)Article Subjectlcsh:MathematicsMULTIVALUED CONTRACTION MAPPINGSType (model theory)Fixed pointlcsh:QA1-939METRIC SPACESMetric spaceFIXED-POINT THEOREMSettore MAT/05 - Analisi MatematicaPoint (geometry)Settore MAT/03 - GeometriaAnalysisMathematicsJournal of Function Spaces
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Picard sequence and fixed point results on b -metric spaces

2015

We obtain some fixed point results for single-valued and multivalued mappings in the setting of ab-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh, Abbas, and Costache.

Discrete mathematicsSequenceb-metric spaceArticle Subjectlcsh:MathematicsInjective metric spaceProduct metricFixed pointlcsh:QA1-939Convex metric spaceIntrinsic metricMetric spacefixed pointSettore MAT/05 - Analisi MatematicaAnalysisMathematics
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Set-Valued Hardy-Rogers Type Contraction in 0-Complete Partial Metric Spaces

2014

In this paper we introduce set-valued Hardy-Rogers type contraction in 0-complete partial metric spaces and prove the corresponding theorem of fixed point. Our results generalize, extend, and unify several known results, in particular the recent Nadler’s fixed point theorem in the context of complete partial metric spaces established by Aydi et al. (2012). As an application of our results, a homotopy theorem for such mappings is derived. Also, some examples are included which show that our generalization is proper.

Discrete mathematicsSet-valued mappingPartial metric spaceArticle Subjectlcsh:MathematicsInjective metric spaceFixed-point theoremFixed pointlcsh:QA1-939Convex metric spaceMetric spaceMathematics (miscellaneous)Settore MAT/05 - Analisi MatematicaFréchet spaceContraction mappingBrouwer fixed-point theoremKakutani fixed-point theoremMathematicsInternational Journal of Mathematics and Mathematical Sciences
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