A basic theorem of complementarity for the generalized variational-like inequality problem

DOI10.1016/0022-247X(91)90272-2zbMath0746.49014OpenAlexW2137249640MaRDI QIDQ1176164

Jen-Chih Yao

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90272-2

zbMATH Keywords

necessary conditionspoint-to-set mappingsgeneralized complementarity problemgeneralized variational-like inequality problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued functions (26E25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (5)

Existence of solutions for lower semicontinuous quasi-equilibrium problems ⋮ A general theorem of complementarity for the implicit GQVI problem ⋮ Abstract variational inequality problems and a basic theorem of complementarity ⋮ On a general theorem of complementarity with applications to GCP ⋮ Generalised variational-like inequalities and a gap function

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• A unification of the existence theorems of the nonlinear complementarity problem
• Extension of the Generalized Complementarity Problem
• A note on a theorem of F. Browder
• Nonlinear Programs with Positively Bounded Jacobians
• Monotone processes of convex and concave type
• On the basic theorem of complementarity

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