Variational inequalities for functions on convex sets

DOI10.1016/0022-247X(83)90119-1zbMath0536.49004MaRDI QIDQ791860

Gerd Rode, Stephen Simons

Publication date: 1983

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

zbMATH Keywords

Hahn-Banach theoremabstract variational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Methods involving semicontinuity and convergence; relaxation (49J45) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (4)

A note on pseudomonotone functions, regularization, and relaxed coerciveness ⋮ Elementary convex techniques for equilibrium, minimax and variational problems ⋮ On a generalized sup-inf problem ⋮ Directional derivatives and variational inequalities

Cites Work

• Variational inequalities via the Hahn-Banach theorem
• On some non-linear elliptic differential functional equations
• On certain applications of the Hahn-Banach and minimax theorems
• Nonlinear monotone operators and convex sets in Banach spaces
• ON THE UNIFICATION OF THE CALCULUS OF VARIATIONS AND THE THEORY OF MONOTONE NONLINEAR OPERATORS IN BANACH SPACES
• Variational inequalities
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