0000000000324767

AUTHOR

Monica Cosentino

showing 3 related works from this author

Fixed point results on metric-type spaces

2014

Abstract In this paper we obtain fixed point and common fixed point theorems for self-mappings defined on a metric-type space, an ordered metric-type space or a normal cone metric space. Moreover, some examples and an application to integral equations are given to illustrate the usability of the obtained results.

Suzuki type mappingcone metric spaceGeneral MathematicsInjective metric spaceMathematical analysisGeneral Physics and Astronomycommon fixed pointPseudometric spaceFixed pointFixed-point propertyConvex metric spaceIntrinsic metricMetric spaceintegral equationfixed pointmetric-type spaceSettore MAT/05 - Analisi MatematicaMetric differentialMathematicsActa Mathematica Scientia
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Solvability of integrodifferential problems via fixed point theory in b-metric spaces

2015

The purpose of this paper is to study the existence of solutions set of integrodifferential problems in Banach spaces. We obtain our results by using fixed point theorems for multivalued mappings, under new contractive conditions, in the setting of complete b-metric spaces. Also, we present a data dependence theorem for the solutions set of fixed point problems.

Pure mathematicsb-metric spaceApplied Mathematicsmultivalued mappingMathematical analysisBanach spaceFixed-point theoremFixed pointFixed-point propertyMetric spaceSchauder fixed point theoremfixed pointDifferential inclusionSettore MAT/05 - Analisi Matematicadifferential inclusionGeometry and TopologyCoincidence pointMathematicsFixed Point Theory and Applications
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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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