Local properties of solutions of nonsmooth variational solutions of nonsmooth variational inequalities

References

• Auslender , A. 1984 . Stability in mathematical programming with nondifferentiable data . SIAM J. Control and Optimization , 22 : 239 – 254 .
   Web of Science ®Google Scholar
• Bazaraa , M.S. and Shetty , C.M. 1979 . Nonlinear Programming: Theory and Algorithms , New York : Wiley .
   Google Scholar
• Clarke , F.H. 1983 . Optimization and Nonsmooth Analysis , New York : Wiley .
   Google Scholar
• Gowda M. S. Pang J.S. Stability analysis of variational inequalities and non–linear complementarity. via the mixed linear complementarity problem and degree theory to appear
   Google Scholar
• Fiacco , A.V. 1976 . Sensitivity analysis for nonlinear programming using penalty methods . Mathematical Programming , 10 : 287 – 311 .
   Web of Science ®Google Scholar
• Fischer , A. 1992 . A special Newton-type optimization method . Optimization , 24 : 269 – 284 .
   Google Scholar
• Harker , P.T. and Pang , J.S. 1990 . Finite-dimensional variational inequality and nonlinear complementarity problem: A survey of theory, algorithtns and applications . Mathematical Programming , 48 : 161 – 220 .
   Web of Science ®Google Scholar
• Hiriart-Urruty , J.B. 1979 . Refinements of new optimality conditions in nondifferentiable programming I . Applied Mathematics and Optimization , 5 : 63 – 82 .
   Web of Science ®Google Scholar
• Hiriart-Urruty , J.B. , Strodiot , J.J. and Hien Nguyen , V. 1984 . Generalized Hessian matrix and second-order optimality conditions for problems with $si:C$esi: 1,1data . Applied Mathematics and Optimization , 11 : 43 – 56 .
   Web of Science ®Google Scholar
• Jiang , H.Y. and Qi , L. 1993 . “ Local uniqueness and Newton-type methods for nonsmooth variational inequalities ” . University of New South Wales . AM 93/14, Applied Mathematics Preprint
   Google Scholar
• King , A.J. and Rockafellar , R.T. 1992 . Sensitivity analysis for nonsmooth generalized equations . Mathematical Programming , 55 : 193 – 212 .
   Web of Science ®Google Scholar
• Klatte , D. and Tammer , K. 1988 . On second-order sufficient optimality conditions for $si:C$esi:1,1-optimization problems . Optimization , 19 : 169 – 179 .
   Google Scholar
• Kyparisis , J. 1987 . Sensitivity analysis framework for variational inequalities . Mathematical Programming , 38 : 1 – 11 .
   Google Scholar
• Kyparisis , J. 1990 . Sensitivity for variational inequality and nonlinear complementarity problems . Annals of Operations Research , 27 : 143 – 174 .
   Google Scholar
• Mordukhovich B. Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis Institute for Mathematics and its Applications, University of Minnesota Minneapolis 1992 Preprint Series 997
   Google Scholar
• Pang J. S. Qi L. A globally convergent Newton method for convex SC1 minimizarlon problems Journal of Optimization Theory and Applications to appear in
   Google Scholar
• Qi L. Qi L. Superlinearly convergent approximate Newton methods for LC1 optimization problems Journal of Optimization Theory and Applications to appear in
   Google Scholar
• Qiu , Y. and Magnanti , T.L. 1989 . Sensitivity analysis for variational inequalities defined on polyhedral sets . Mathematics of Operations Research , 14 : 410 – 432 .
   Google Scholar
• Qiu , Y. and Magnanti , T.L. 1992 . Sensitivity analysis for variational inequalities . Mathematics of Operations Research , 17 : 61 – 76 .
   Google Scholar
• Robinson , S.M. 1976 . Stability theory for systems of inequalities, part II: differentiable nonlinear systems . SIAM J. Numerical Analysis , 13 : 497 – 513 .
   Web of Science ®Google Scholar
• Robinson , S.M. 1979 . Generalized equations and their solutions, part I: basic theory . :Mathematical Programming Study , 10 : 128 – 141 .
   Web of Science ®Google Scholar
• Robinson , S.M. 1989 . Generalized equations and their solution, part II: applications to nonlinear programming . Mathematical Programming Study , 19 : 200 – 221 .
   Google Scholar
• Tobin , R.L. 1986 . Sensitivity analysis for variational inequalities . Journul of Optimization Theory and Applications , 48 : 191 – 204 .
   Web of Science ®Google Scholar