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

Pasquale VetroPeyman Salimi

subject

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 equationMathematics

description

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.

https://doi.org/10.1515/gmj-2013-0046