Implicit Functions, Lipschitz Maps, and Stability in Optimization
Asen L. Dontchev, William W. Hager · Mathematics of Operations Research · 1994
We present an implicit function theorem for set-valued maps associated with the solutions of generalized equations. As corollaries of this theorem, we derive both known and new results. Strong regularity of variational inequalities and Lipschitz stability of optimization problems are discussed.