Inclusion problems in ordered topological vector spaces and applications

DOI10.1016/j.jmaa.2004.03.074zbMath1070.47051OpenAlexW1966209477MaRDI QIDQ1888216

Seppo Heikkilä

Publication date: 23 November 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.074

zbMATH Keywords

minimal solutionpartial differential inclusionordered space

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Set-valued operators (47H04) Ordinary differential inclusions (34A60) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

\((\Lambda ,C)\)-contingent derivatives of set-valued maps ⋮ On extremal solutions of inclusion problems with applications to game theory ⋮ Existence results for operator and differential equations and inclusions ⋮ A Survey of Set Optimization Problems with Set Solutions ⋮ Epidifferentiability and hypodifferentiability of pseudoconvex maps in set-optimization problems

Cites Work

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• Fixed points of increasing multivalued operators and an application to discontinuous elliptic equations
• Operator and differential equations in ordered spaces
• Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
• Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP's

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