An application of Ekeland's theorem to minimax problems

DOI10.1016/0362-546X(82)90087-6zbMath0493.49014MaRDI QIDQ3955972

L. McLinden

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

minimax problemsEkeland's theoremapproximate minimax solutionsRockafellar's subgradients

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Related Items (13)

Uniform convexity, uniform monotonicity and \((\phi,c)\)-subdifferentiability with application to nonlinear PDE ⋮ Minimax theorems without linear structure ⋮ Ekeland-Type Variational Principles and Equilibrium Problems ⋮ Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces ⋮ The hypertangent cone ⋮ Sub differential Monotonicity as Characterization of Convex Functions ⋮ Variational principles for supinf problems with constraints ⋮ Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems ⋮ Characterization of Lower Semicontinuous Convex Functions ⋮ Mean Value Property and Subdifferential Criteria for Lower Semicontinuous Functions ⋮ Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems ⋮ Perturbations of supinf problems with constraints ⋮ Penalty functions in ε-programming and ε-minimax problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the variational principle
• Regularity and conditioning of solution mappings in variational analysis
• Nonconvex minimization problems
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Mathematical methods of game and economic theory
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Minimax Theorems and Conjugate Saddle-Functions.
• On the Subdifferentiability of Convex Functions
• Normal solvability for nonlinear mappings into Banach spaces

This page was built for publication: An application of Ekeland's theorem to minimax problems