Search results for "F contraction"

showing 3 items of 3 documents

Generalized F-Contractions on Product of Metric Spaces

2019

Our purpose in this paper is to extend the fixed point results of a &psi

Pure mathematicslcsh:MathematicsGeneral Mathematics<i>ψF</i>-contraction generalized <i>ψF</i>-contraction<i>F</i>-contractionNatural numberFixed pointlcsh:QA1-939Metric spaceTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESfixed pointComputer Science (miscellaneous)Product topologyF contractionHigh Energy Physics::ExperimentEngineering (miscellaneous)MathematicsMathematics
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Krasnosel'skiĭ-Schaefer type method in the existence problems

2019

We consider a general integral equation satisfying algebraic conditions in a Banach space. Using Krasnosel'skii-Schaefer type method and technical assumptions, we prove an existence theorem producing a periodic solution of some nonlinear integral equation.

Pure mathematicsCompact operatorApplied MathematicsBanach spaceExistence theoremType (model theory)Nonlinear integral equationNonlinear integral equationCompact operatorIntegral equationSettore MAT/05 - Analisi MatematicaF contractionAlgebraic numberF-contractionAnalysisKrasnosel’skiĭ-schaefer fixed point theoremMathematics
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The class of F-contraction mappings with a measure of noncompactness

2017

In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings. We also present a new fixed-point existence result obtained by considering such a kind of contraction condition and a measure of noncompactness. Moreover, we show the applicability of these results in the theory of functional equations.

Pure mathematics021103 operations researchcontraction condition0211 other engineering and technologiesBanach space02 engineering and technology01 natural sciences010101 applied mathematicsSettore MAT/05 - Analisi Matematicameasure of noncompactnessF contraction0101 mathematicsContraction (operator theory)Mathematics
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