Fixed point theory for weakly contractive maps with applications to operator inclusions in Banach spaces relative to the weak topology

DOI10.4171/ZAA/822zbMath0911.47057MaRDI QIDQ1393091

Donal O'Regan

Publication date: 4 May 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

fixed pointnonlinear abstract operator inclusionweakly contractive multivalued maps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (9)

Multivalued versions of a Krasnosel'skii-type fixed point theorem ⋮ Unnamed Item ⋮ A note on fixed point theory for multivalued mappings ⋮ Hybrid Fixed-Set Results for Multivalued Mappings in Banach Algebras under a Weak Topology Setting ⋮ Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness ⋮ Fixed point theorems for the sum of two weakly sequentially continuous mappings ⋮ Fixed point theory for \(k\)-CAR sets ⋮ Fixed point theory of Mönch type for weakly sequentially upper semicontinuous maps ⋮ Weakly contractive zero epi maps.

Cites Work

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• Fixed-point theory for weakly sequentially continuous mappings
• Operator equations in Banach spaces relative to the weak topology
• Solutions of differential equations in B-spaces
• A continuation method for weakly condensing operators
• Some Fixed Point Theorems for Condensing Multifunctions in Locally Convex Spaces
• An Elementary Proof of the Arens and Borsuk Extension Theorems
• On the existence of weak solutions of differential equations in nonreflexive banach spaces
• Fundamental Theory of Contingent Differential Equations in Banach Space
• An existence theorem for ordinary differential equations in Banach spaces

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