A new minimax theorem and a perturbed James's theorem

DOI10.1017/S0004972700020669zbMath1041.46002OpenAlexW2097679572MaRDI QIDQ3153720

Stephen Simons, Manuel Ruiz Galán

Publication date: 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700020669

zbMATH Keywords

minimax theoremweakly compact sets

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20) Optimality conditions for minimax problems (49K35) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (12)

Extension of Simons’ inequality ⋮ A multiset version of James's theorem ⋮ Lebesgue property for convex risk measures on Orlicz spaces ⋮ Convex increasing functionals on $C_b(X)$ spaces ⋮ A minimax approach for inverse variational inequalities ⋮ A coercive James's weak compactness theorem and nonlinear variational problems ⋮ An extension of James's compactness theorem ⋮ Conic James' Compactness Theorem ⋮ Minimax Results on Dense Sets and Dense Families of Functionals ⋮ Compactness, Optimality, and Risk ⋮ On the range of the subdifferential in non reflexive Banach spaces ⋮ Mackey constraints for James's compactness theorem and risk measures

Cites Work

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• Minimax monotonicity
• An eigenvector proof of Fatou's lemma for continuous functions
• A counterexample for a sup theorem in normed spaces
• Maximinimax, minimax, and antiminimax theorems and a result of R. C. James
• Systems of Inequalities Involving Convex Functions
• Geometry of Banach spaces having shrinking approximations of the identity
• Weak Compactness in Locally Convex Spaces

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