On gap functions and duality of variational inequality problems

DOI10.1006/jmaa.1997.5608zbMath0945.49004OpenAlexW1982999601MaRDI QIDQ1380375

C. J. Goh, Xiao Qi Yang, Guang-Ya Chen

Publication date: 13 July 1998

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

Full work available at URL: https://semanticscholar.org/paper/a2aa6a21fb49282cd73d73aee434a3b1b77bdb60

zbMATH Keywords

differentiabilityconvexitygap functionvariational inequality problemsdual Fenchel optimization problems

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

ON THE CONSTRUCTION OF GAP FUNCTIONS FOR VARIATIONAL INEQUALITIES VIA CONJUGATE DUALITY ⋮ Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality ⋮ Application of the proximal point method to nonmonotone equilibrium problems ⋮ On the gap functions of prevariational inequalities ⋮ Unnamed Item ⋮ Generalized differential properties of the Auslender gap function for variational inequalities ⋮ Duality in \(\varepsilon \)-variational inequality problems ⋮ A smooth dual gap function solution to a class of quasivariational inequalities ⋮ The gap function of a convex multicriteria optimization problem

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