Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces

DOI10.1007/BF00939633zbMath0652.49011OpenAlexW2059758916MaRDI QIDQ1107093

Tamaki Tanaka

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00939633

zbMATH Keywords

existence theoremsminimax problemsnecessary conditionssaddle pointsinfinite-dimensional spacesminimax pointsvector-valued optimizationmaximin points

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27) Optimality conditions for minimax problems (49K35)

Related Items (14)

Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions ⋮ Minimax theorems and cone saddle points of uniformly same-order vector- valued functions ⋮ A saddlepoint theorem for set-valued maps ⋮ Existence theorems for saddle points of vector-valued maps ⋮ Ky Fan minimax inequalities for set-valued mappings ⋮ Saddle points and minimax theorems for vector-valued multifunctions on \(H\)-spaces ⋮ Two types of minimax theorems for vector-valued functions ⋮ The existence theorems of solutions for generalized vector-valued variational-like inequalities ⋮ Nash equilibrium and saddle points for multifunctions ⋮ Loose saddle points of set-valued maps in topological vector spaces ⋮ Recession maps and applications ⋮ Existence theorems of simultaneous equilibrium problems and generalized vector quasi-saddle points ⋮ Generalized saddle points theorems for set-valued mappings in locally generalized convex spaces ⋮ Existence of solutions for a generalized vector quasivariational inequality

Cites Work

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• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• On the Existence of Pareto Efficient Points
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