Local properties of solutions of nonsmooth variational solutions of nonsmooth variational inequalities
Author:
- 1 January 1995
- journal article
- research article
- Published by Taylor & Francis in Optimization
- Vol. 33 (2) , 119-132
Abstract
In this paper some local properties of the solutions to nonsmooth variational inequalities are established. The perturbed solutions to the nonsmooth variational inequalities are shown to be locally Lipschitzian continuous in the ordinary or the generalized sense at the local solution points under certain regular conditions and/or generalized second-order sufficient conditions whether the constraints set is polyhedral or not. The conditions for ensuring the local uniqueness of the local solutions and the stationary points are also given in the nonpolyhedral cascKeywords
This publication has 16 references indexed in Scilit:
- Sensitivity analysis for nonsmooth generalized equationsMathematical Programming, 1992
- A special newton-type optimization methodOptimization, 1992
- Sensitivity analysis for variational inequalities and nonlinear complementarity problemsAnnals of Operations Research, 1990
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applicationsMathematical Programming, 1990
- On Second-Order Sufficient Optimality Conditions for C 1,1 -Optimization ProblemsOptimization, 1988
- Sensitivity analysis framework for variational inequalitiesMathematical Programming, 1987
- Stability in Mathematical Programming with Nondifferentiable DataSIAM Journal on Control and Optimization, 1984
- Generalized Hessian matrix and second-order optimality conditions for problems withC 1,1 dataApplied Mathematics & Optimization, 1984
- Refinements of necessary optimality conditions in nondifferentiable programming IApplied Mathematics & Optimization, 1979
- Sensitivity analysis for nonlinear programming using penalty methodsMathematical Programming, 1976