Minimax theorems and cone saddle points of uniformly same-order vector- valued functions

DOI10.1007/BF02191986zbMath0823.47062OpenAlexW1994039471MaRDI QIDQ1893330

Yanyan Li

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf02191986

zbMATH Keywords

vector-valued functionscone saddle-point theoremsminimax theorems in vector-valued optimizationsequentially compact setsuniformly same-order functions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonsmooth analysis (49J52) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (16)

Minimax Problems for Set-Valued Mappings ⋮ Set optimization problems of generalized semi-continuous set-valued maps with applications ⋮ Ky Fan minimax inequalities for set-valued mappings ⋮ Saddle points and minimax theorems for vector-valued multifunctions on \(H\)-spaces ⋮ Minimax theorems for scalar set-valued mappings with nonconvex domains and applications ⋮ Minimax inequalities for set-valued mappings ⋮ The stability of set of solutions for symmetric vector quasi-equilibrium problems ⋮ Some minimax problems in lexicographic order ⋮ The strong minimax theorem and strong saddle points of vector-valued functions ⋮ Minimax problems for set-valued mappings with set optimization ⋮ A minimax theorem for vector-valued functions in lexicographic order ⋮ Existence theorems of simultaneous equilibrium problems and generalized vector quasi-saddle points ⋮ Minimax Theorems with Bregman Distance in Banach Spaces ⋮ Symmetric strong vector quasi-equilibrium problems ⋮ A minimax inequality for vector-valued mappings ⋮ Reference variable methods of solving min-Max optimization problems

Cites Work

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• A minimax theorem for vector-valued functions. II
• Some minimax problems of vector-valued functions
• A minimax theorem for vector-valued functions
• Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces
• Some minimax theorems in vector-valued functions
• A generalized saddlepoint theory. Its application to duality theory for linear vector optimum problems
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• Minimax Theorems

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