Directional derivatives and variational inequalities

DOI10.1016/0022-247X(83)90151-8zbMath0527.49017MaRDI QIDQ786392

Gerd Rode, Stephen Simons

Publication date: 1983

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

zbMATH Keywords

directional derivativescoercive bilinear formsconvex hemicontinuous functions

Mathematics Subject Classification ID

Convex programming (90C25) Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Inequalities and extremum problems involving convexity in convex geometry (52A40) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) 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) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• Variational inequalities for functions on convex sets
• Variational inequalities via the Hahn-Banach theorem
• Characterization of the subdifferentials of convex functions