Search results for "metric-type space"

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Common fixed point results on quasi-Banach spaces and integral equations

2013

In this paper we obtain fixed and common fixed point theorems for self-mappings defined on a closed and convex subset C of a quasi-Banach space. We give also a constructive method for finding the common fixed points of the involved mappings. As an application we obtain a result of the existence of solutions of integral equations.

Quasi-Banach space metric-type space common fixed point weakly compatible mappings integral equations.Pure mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisBanach spaceCommon fixed pointFunctional integrationLp spaceC0-semigroupFixed-point propertyIntegral equationMathematicsGeorgian Mathematical Journal
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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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