A note on fixed point theory for multivalued mappings

DOI10.24193/FPT-RO.2023.1.12OpenAlexW4324128250MaRDI QIDQ6193826

Khalid Latrach, Abdul-Majeed Al-Izeri

Publication date: 19 March 2024

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

Full work available at URL: https://doi.org/10.24193/fpt-ro.2023.1.12

zbMATH Keywords

measure of weak noncompactnessfixed point theoremmultivalued mapsupper semicontinuous multivalued mapcondensing multivalued mapweakly sequentially upper semicontinuous multivalued map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04)

Cites Work

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• Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
• Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
• Existence of fixed points and measures of weak noncompactness
• Functional analysis, Sobolev spaces and partial differential equations
• On measures of weak noncompactness
• Fixed point theory for weakly contractive maps with applications to operator inclusions in Banach spaces relative to the weak topology
• Krasnoselskii-type fixed-point theorems for weakly sequentially continuous mappings
• Fixed point theory of Mönch type for weakly sequentially upper semicontinuous maps
• Topological Fixed Point Theory of Multivalued Mappings
• Countably condensing multimaps and fixed points
• Fixed Point Theorems for Condensing Multifunctions
• Fixed points of compact multifunctions

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