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. B 35 (2015), 552-566]. As an application of our main result, we investigate the existence of an optimal solution for a system of integrodifferential equations.
Gabeleh, M., Vetro, C. (2018). A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 98(2), 286-297 [10.1017/S000497271800045X].
A New Extension of Darbo's Fixed Point Theorem Using Relatively Meir-Keeler Condensing Operators
Vetro, Calogero
2018-01-01
Abstract
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. B 35 (2015), 552-566]. As an application of our main result, we investigate the existence of an optimal solution for a system of integrodifferential equations.File | Dimensione | Formato | |
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