Existence and approximation of fixed points for multivalued maps

DOI10.1016/S0893-9659(99)00076-2zbMath0954.47046MaRDI QIDQ1808428

Donal O'Regan

Publication date: 8 February 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

multivalued mappingsfixed point theoremsKuratowski measure of noncompactnessapproximation of fixed pointsgeneralized differential equations\(k\)-set contractive, condensing, essential and hemicompact mapsdifferential and integral inclusions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces

Cites Work

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• Noncompactness principles in nonlinear operator approximation theory
• Nonlinear integral equations on the half line
• Coincidence principles and fixed point theory for mappings in locally convex spaces
• Random fixed-point theorems and approximation in cones
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Fixed point theory in Fréchet spaces and variational inequalities
• Fixed points for set-valued mappings in locally convex linear topological spaces
• Approximation of solutions of nonlinear operator equation on the half line
• Characterizations of optimality in convex programming: the nondifferentiable case

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