Generic properties of the complementarity problem

DOI10.1007/BF01584674zbMath0279.90036OpenAlexW2014468093MaRDI QIDQ4767128

Romesh Saigal, Carl P. Simon

Publication date: 1973

Published in: Mathematical Programming (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01584674

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fixed-point and coincidence theorems (topological aspects) (54H25) Topology of special sets defined by functions (54C50)

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Cites Work

• Unnamed Item
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• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• Complementary pivot theory of mathematical programming
• The nonlinear complementarity problem, with applications. I
• On the number of solutions to the complementarity problem and spanning properties of complementary cones
• Bimatrix Equilibrium Points and Mathematical Programming
• Nonlinear Programs with Positively Bounded Jacobians
• A Probelm in Linear Inequalities
• Non-Linear Programming Via Penalty Functions
• A Characterization of the Constant Parity Property of the Number of Solutions to the Linear Complementarity Problem
• On the basic theorem of complementarity
• The Linear Complementarity Problem
• The complementarity problem
• Economies with a Finite Set of Equilibria
• The Local Uniqueness of Equilibria
• The Unloading Problem for Plane Curves