Аннотация:
In this paper, we propose the concept of Meir-Keeler (MK) condensing operators with respect to a family of measures of noncompactness (FMN) in a Fréchet space, and present a generalization of the Darbo theorem. Additionally, we state the notion of an $n$-variable MK condensing operator regarding an FMN and extend our findings to the $n$-variable context. To support our main results, we demonstrate the existence of solutions for a class of systems of $n$-variable functional Volterra integral equations, which can generalize many standard and couple systems.
Ключевые слова:
Meir-Keeler condensing operator, family of measures of noncompactness, Fréchet space, system of functional integral equations.
Полный текст:
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