Meir-Keeler Condensing Operators and a Family of Measures of Noncompactness in Frechet Spaces
Year: 2025
Type: article
Abstract: 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.
Source: Problemy analiza
Authors: F. Soltanpour, H. Majani, A. Shole Haghighi
Institution: Petrozavodsk State University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416270807
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