Search results for "contraction of integral type"

showing 3 items of 3 documents

Common fixed points in generalized metric spaces

2012

Abstract We establish some common fixed point theorems for mappings satisfying a ( ψ , φ ) -weakly contractive condition in generalized metric spaces. Presented theorems extend and generalize many existing results in the literature.

Discrete mathematicsComputational MathematicsMetric spaceFixed-point iterationSettore MAT/05 - Analisi MatematicaApplied MathematicsGeneralized metric weakly contractive condition contraction of integral type fixed point common fixed points.Common fixed pointProduct metricFixed pointIntrinsic metricMathematicsConvex metric space
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A fixed point theorem for a Meir-Keeler type contraction through rational expression

2013

In this paper, we establish a new fixed point theorem for a Meir-Keeler type contraction through rational expression. The presented theorem is an extension of the result of Dass and Gupta (1975). Some applications to contractions of integral type are given.

Pure mathematicsAlgebra and Number TheorySettore MAT/05 - Analisi MatematicaFixed-point theoremContraction (operator theory)Fixed point Meir-Keeler type contraction Rational expression Contraction of integral type.AnalysisMathematicsJournal 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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