Search results for " Meir-Keeler type contraction"

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Meir-Keeler Type Contractions for Tripled Fixed Points

2012

Abstract In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler contraction.

Discrete mathematicsMetric spaceSettore MAT/05 - Analisi MatematicaGeneralizationGeneral MathematicsMathematics::General TopologyGeneral Physics and AstronomyFixed-point theoremTripled fixed point theorems Meir-Keeler type contractions partially ordered sets.Type (model theory)Fixed pointPartially ordered setMathematicsActa Mathematica Scientia
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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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