Search results for "relatively Meir-Keeler condensing operator"

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A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators

2018

We consider relatively Meir–Keeler condensing operators to study the existence of best proximity points (pairs) by using the notion of measure of noncompactness, and extend a result of Aghajani et al. [‘Fixed point theorems for Meir–Keeler condensing operators via measure of noncompactness’, Acta Math. Sci. Ser. B35 (2015), 552–566]. As an application of our main result, we investigate the existence of an optimal solution for a system of integrodifferential equations.

Pure mathematicsGeneral Mathematics010102 general mathematicsFixed-point theoremExtension (predicate logic)01 natural sciencesMeasure (mathematics)010101 applied mathematicsstrictly convex Banach spaceoptimal solutionProximity pointSettore MAT/05 - Analisi MatematicaPoint (geometry)relatively Meir-Keeler condensing operator0101 mathematicsMathematics
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