A class of nonlinear complementarity problems for multifunctions

DOI10.1007/BF00938819zbMath0593.90078MaRDI QIDQ1076615

B. George

Publication date: 1987

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

multifunctionssubdifferentialnonlinear complementaritylower semicontinuous positively homogeneous convex functionquasidifferentiable convex programming

Mathematics Subject Classification ID

Convex programming (90C25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (4)

A linear complementarity problem involving a subgradient ⋮ Stability results for polyhedral complementarity problems ⋮ Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems ⋮ Duality in multivalued complementarity theory by using inversions and scalar derivatives

Cites Work

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• Duality and existence theory for nondifferentiable programming
• Nondifferentiable mathematical programming and convex-concave functions
• An existence theorem for the nonlinear complementarity problem
• A generalization of Brouwer's fixed point theorem
• Simple bounds for solutions of monotone complementarity problems and convex programs
• Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems
• A unification of the existence theorems of the nonlinear complementarity problem
• Extension of the Generalized Complementarity Problem
• A New Approach to Lagrange Multipliers
• Nonlinear Programs with Positively Bounded Jacobians
• Convex Analysis
• The complementarity problem

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