Search results for "F-contraction"

showing 5 items of 5 documents

F-contractions of Hardy–Rogers-type and application to multistage decision

2016

We prove fixed point theorems for F-contractions of Hardy–Rogers type involving self-mappings defined on metric spaces and ordered metric spaces. An example and an application to multistage decision processes are given to show the usability of the obtained theorems.

010101 applied mathematicsCombinatoricsApplied Mathematics010102 general mathematicslcsh:QA299.6-433F-contractions of Hardy–Rogers type and application to multistage decision processeslcsh:Analysis0101 mathematicsType (model theory)01 natural sciencesAnalysisMathematicsNonlinear Analysis: Modelling and Control
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Fixed point results for F-contractive mappings of Hardy-Rogers-type

2014

Recently, Wardowski introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for self-mappings on complete metric spaces or complete ordered metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.

Discrete mathematicsGeneral MathematicsInjective metric spaceMetric spaces ordered metric spaces fixed points F-contractions of Hardy-Rogers-typeFixed-point theoremFixed pointFixed-point propertyConvex metric spaceUniform continuitySettore MAT/05 - Analisi MatematicaFréchet spaceContraction mappingMathematicsFilomat
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Multi-valued $$F$$ F -contractions in 0-complete partial metric spaces with application to Volterra type integral equation

2013

We study the existence of fixed points for multi-valued mappings that satisfy certain generalized contractive conditions in the setting of 0-complete partial metric spaces. We apply our results to the solution of a Volterra type integral equation in ordered 0-complete partial metric spaces.

Discrete mathematicsPure mathematicsAlgebra and Number Theory0-completenepartial metric spacesApplied MathematicsInjective metric spaceclosed multi-valued mappingT-normEquivalence of metricsIntrinsic metricConvex metric spaceComputational MathematicsUniform continuityMetric spacefixed pointSettore MAT/05 - Analisi MatematicaFréchet spaceGeometry and TopologyF-contractionAnalysisMathematicsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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Multi-valued F-contractions and the solution of certain functional and integral equations

2013

Wardowski [Fixed Point Theory Appl., 2012:94] introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, we will present some fixed point results for closed multi-valued F-contractions or multi-valued mappings which satisfy an F-contractive condition of Hardy-Rogers-type, in the setting of complete metric spaces or complete ordered metric spaces. An example and two applications, for the solution of certain functional and integral equations, are given to illustrate the usability of the obtained results.

Discrete mathematicsPure mathematicsGeneral MathematicsInjective metric spacemetric spaceFixed-point theoremFixed pointFixed-point propertyConvex metric spaceUniform continuityClosed multi-valued F-contractionfixed pointFréchet spaceF-contractive condition of Hardy-Rogers-typeSettore MAT/05 - Analisi MatematicaContraction mappingMathematicsordered metric spaces
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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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