ON THE CONSTRUCTION OF GAP FUNCTIONS FOR VARIATIONAL INEQUALITIES VIA CONJUGATE DUALITY

DOI10.1142/S0217595907001309zbMath1141.49303MaRDI QIDQ5295438

Radu Ioan Boţ, Gert Wanka, Lkhamsuren Altangerel

Publication date: 30 July 2007

Published in: Asia-Pacific Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

variational inequalitiesconjugate dualitygap functionsdual gap functions

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (12)

Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality ⋮ Gap functions for quasi-variational inequalities via duality ⋮ Conjugate Duality for Constrained Vector Optimization in Abstract Convex Frame ⋮ Merit functions: a bridge between optimization and equilibria ⋮ On gap functions for nonsmooth multiobjective optimization problems ⋮ Merit functions: a bridge between optimization and equilibria ⋮ Strong duality and optimality conditions for generalized equilibrium problems ⋮ Conjugate duality in vector optimization and some applications to the vector variational inequality ⋮ Merit functions and error bounds for constrained mixed set-valued variational inequalities via generalizedf-projection operators ⋮ An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities ⋮ Gap functions for generalized vector equilibrium problems via conjugate duality and applications ⋮ Existence results and gap functions for the generalized equilibrium problem with composed functions

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• Mixed variational inequalities and economic equilibrium problems
• On some connections among variational inequalities, combinatorial and continuous optimization
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• Weak Sharp Solutions of Variational Inequalities
• Mixed variational inequalities arising in elastoplasticity

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