Common fixed point theorems for a finite family of multivalued mappings in an ordered Banach space

DOI10.1186/S13663-018-0642-3zbMath1467.47019OpenAlexW2807367041WikidataQ129733251 ScholiaQ129733251MaRDI QIDQ1654458

Karim Chaira, Mohamed Aamri, Mohamed Amine Farid, El Miloudi Marhrani

Publication date: 8 August 2018

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

Full work available at URL: https://doi.org/10.1186/s13663-018-0642-3

zbMATH Keywords

measure of noncompactnesscommon fixed pointordered Banach spaceisotone mappingintegral inclusioncondensing mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
• Fixed point theorems for multivalued mappings in ordered Banach spaces with application to integral inclusions
• Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces
• A fixed point theorem for multi-valued mappings and its applications to integral inclusions
• Degree theory for local condensing maps
• Leray-Schauder alternatives for weakly sequentially continuous mappings and application to transport equation
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