6533b85bfe1ef96bd12bbf7b

RESEARCH PRODUCT

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

Calogero VetroMoosa Gabeleh

subject

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

description

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.

yearjournalcountryeditionlanguage
2018-07-19
10.1017/s000497271800045xhttp://hdl.handle.net/10447/332771