Existence of solutions for integral inclusions of Urysohn type with nonconvex-valued orientor field

DOI10.1007/BF00940032zbMath0683.58010MaRDI QIDQ5916466

Nikolaos S. Papageorgiou

Publication date: 1990

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Schauder fixed-point theoremArzela-Ascoli theoremUrysohn equationAumann's selection theoremlower semicontinuous multifunctions

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30)

Cites Work

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• Existence of solutions of multi-valued Urysohn integral equations
• Convergence of best approximations in a smooth Banach space
• On the extension of von Neumann-Aumann's theorem
• Continuous selections for a class of non-convex multivalued maps
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats