Variational Inequality Problems with a Continuum of Solutions: Existence and Computation

DOI10.1137/S0363012999360592zbMath1017.49014OpenAlexW2143516720MaRDI QIDQ2719145

Zaifu Yang, P. Jean-Jacques Herings, Adolphus J. J. Talman

Publication date: 21 June 2001

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012999360592

zbMATH Keywords

system of nonlinear equationsvariational inequalitypolytopesimplicial algorithmeconomic equilibrium modelcontinuum of zero points

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) General equilibrium theory (91B50)

Related Items (4)

General existence theorem of zero points ⋮ On a parameterized system of nonlinear equations with economic applications ⋮ Solving discrete systems of nonlinear equations ⋮ A continuum of solutions to variational inequality with nonlinear constraints: Existence and simplicial algorithm

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