A generalization of Darbo's fixed point and common solutions of equations in Banach spaces

DOI10.1186/1687-1812-2013-62zbMath1364.47007OpenAlexW2151467227WikidataQ59293418 ScholiaQ59293418MaRDI QIDQ2444824

Ahmed Hajji

Publication date: 11 April 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-62

zbMATH Keywords

fixed pointmeasure of noncompactness

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (10)

New generalizations of Darbo's fixed point theorem ⋮ Existence solution of a system of differential equations using generalized Darbo's fixed point theorem ⋮ New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application ⋮ \(F(\psi,\varphi)\)-contraction in terms of measure of noncompactness with application for nonlinear integral equations ⋮ Generalizations of Darbo's fixed point theorem via simulation functions with application to functional integral equations ⋮ Common fixed point theorems for two and three mappings ⋮ Unnamed Item ⋮ Nonlocal fractional functional differential equations with measure of noncompactness in Banach space ⋮ Generalizations of Darbo's fixed point theorem and solvability of integral and differential systems ⋮ An extension of Darbo’s theorem via measure of non-compactness with its application in the solvability of a system of integral equations

Cites Work

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• Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation
• Punti uniti in trasformazioni a codominio non compatto

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