The saddle point theorem of Kuhn and Tucker in ordered vector spaces

DOI10.1016/0022-247X(77)90283-9zbMath0354.90070MaRDI QIDQ1236974

Jochem Zowe

Publication date: 1977

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

Mathematics Subject Classification ID

Convex programming (90C25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

The envelope theorem for multiobjective convex programming via contingent derivatives ⋮ Strong duality for infinite-dimensional vector-valued programming problems ⋮ Moreau-Rockafellar type theorem for convex set functions ⋮ Strict approximate duality in vector spaces ⋮ Optimality for set functions with values in ordered vector spaces ⋮ Conic set-valued maps in vector optimization ⋮ Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators ⋮ Duality for nonlinear multiple-criteria optimization problems ⋮ Subdifferentials of nonconvex vector-valued functions ⋮ Duality theory and slackness conditions in multiobjective linear programming ⋮ Some applications of open-decomposition pairs in convex analysis ⋮ Duality for set-valued multiobjective optimization problems. I: Mathematical programming ⋮ Saddlepoints for convex programming in order vector spaces ⋮ A duality theorem for a convex programming problem in order complete vector lattices ⋮ Density theorems for ideal points in vector optimization ⋮ A dual problem for convex programming in ordered vector spaces ⋮ Coefficient constancy test in generalized random coefficient autoregressive model ⋮ Complete characterization of optimality for convex programming in banach spaces^† ⋮ Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications ⋮ Hahn-Banach-type theorems and subdifferentials for invariant and equivariant order continuous vector lattice-valued operators with applications to optimization ⋮ Local convex analysis

Cites Work

• A duality theorem for a convex programming problem in order complete vector lattices
• Optimization theory in linear spaces. II: On systems of linear operator inequalities in partially ordered normed linear spaces
• Optimization theory in linear spaces. III: Mathematical programming in partially ordered Banach spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The saddle point theorem of Kuhn and Tucker in ordered vector spaces