Generalized linear complementarity problems

DOI10.1007/BF01585749zbMath0708.90089MaRDI QIDQ920851

M. Seetharama Gowda, Thomas I. Seidman

Publication date: 1990

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

closed convex conescopositive plus operatorfinite-dimensional perturbationinfinite-dimensional real Hilbert spaces

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Linear programming (90C05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)

Related Items (14)

On the range sets of variational inequalities ⋮ Existence theorems for linear complementarity problems on solid closed convex cones ⋮ Solvability theory for a class of hemivariational inequalities involving copositive plus matrices. Applications in robotics ⋮ New models for a class of adhesive grippers. The hemivariational inequality approach ⋮ Solvability theory and projection methods for a class of singular variational inequalities: Elastostatic unilateral contact applications ⋮ An existence result on noncoercive hemivariational inequalities ⋮ A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics ⋮ On the one-dimensional nonlinear elastohydrodynamic lubrication ⋮ Harmonic solutions for noncoercive dynamic unilateral problems ⋮ Characterizing \(\mathbf Q\)-linear transformations for semidefinite linear complementarity problems ⋮ GUS-property for Lorentz cone linear complementarity problems on Hilbert spaces ⋮ On stability of solutions to parametric generalized affine variational inequalities ⋮ Pseudo-monotone complementarity problems in Hilbert space ⋮ On the solvability of noncoercive linear variational inequalities in separable Hilbert spaces

Cites Work

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• Minimising quadratic functionals over closed convex cones
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• Some perturbation results for the Linear Complementarity Problem
• Characterizations of bounded solutions of linear complementarity problems
• Classes of functions and feasibility conditions in nonlinear complementarity problems
• A Remark on the Nonlinear Complementarity Problem
• A Nonlinear Complementarity Problem in Mathematical Programming in Banach Space
• Extension of the Generalized Complementarity Problem
• The complementarity problem

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