Search results for "rational expression."

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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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On a theorem of Khan in a generalized metric space

2013

Existence and uniqueness of fixed points are established for a mapping satisfying a contractive condition involving a rational expression on a generalized metric space. Several particular cases and applications as well as some illustrative examples are given.

Discrete mathematicsArticle Subjectlcsh:MathematicsInjective metric spacerational expression.Pseudometric spaceFixed pointFixed pointlcsh:QA1-939Convex metric spaceMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Uniquenessgeneralized metric spaceMetric differentialMathematics
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