0000000001039239

AUTHOR

Vincenzo La Rosa

showing 5 related works from this author

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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Common fixed points for α-ψ-φ-contractions in generalized metric spaces

2014

We establish some common fixed point theorems for mappings satisfying an α-ψ-ϕcontractive condition in generalized metric spaces. Presented theorems extend and generalize manyexisting results in the literature.
 Erratum to “Common fixed points for α-ψ-φ-contractions in generalized metric spaces”
 In Example 1 of our paper [V. La Rosa, P. Vetro, Common fixed points for α-ψ-ϕcontractions in generalized metric spaces, Nonlinear Anal. Model. Control, 19(1):43–54, 2014] a generalized metric has been assumed. Nevertheless some mistakes have appeared in the statement. The aim of this note is to correct this situation.
  

Pure mathematicsApplied Mathematicslcsh:QA299.6-433common fixed pointlcsh:AnalysisFixed pointα-ψ-φ-contractive conditionMetric spacefixed pointSettore MAT/05 - Analisi Matematicaα-ψ-ϕ-contractive conditioncontraction of integral typegeneralized metric spaceAnalysisMathematicsNonlinear Analysis: Modelling and Control
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On fixed points for a–n–f-contractive multi-valued mappings in partial metric spaces

2015

Recently, Samet et al. introduced the notion of α-ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. Successively, Asl et al. introduced the notion of αӿ-ψ-contractive multi-valued mappings and gave a fixed point result for these multivalued mappings. In this paper, we establish results of fixed point for αӿ-admissible mixed multivalued mappings with respect to a function η and common fixed point for a pair (S; T) of mixed multi-valued mappings, that is, αӿ-admissible with respect to a function η in partial metric spaces. An example is given to illustrate our result.

Discrete mathematicsMetric spacePartial metric spaceSettore MAT/05 - Analisi MatematicaApplied Mathematicsαӿ-admissible pair with respect to a function ηFixed pointFixed pointα-η-ψ-contractive conditionCommon fixed pointMulti valuedAnalysisMathematicsNonlinear Analysis: Modelling and Control
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Solution of an initial-value problem for parabolic equations via monotone operator methods

2014

We study a general initial-value problem for parabolic equations in Banach spaces, by using a monotone operator method. We provide sufficient conditions for the existence of solution to such problem.

Banach spacemetric spacesparabolic equationlcsh:Mathematicsmetric spaceMathematicsofComputing_NUMERICALANALYSISparabolic equationstransitive relationslcsh:QA1-939Banach spacestransitive relations.Settore MAT/05 - Analisi Matematicamonotone operatormonotone operatorsElectronic Journal of Differential Equations
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New Fixed Points Theorems

Fixed point
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