Ye, Xiang Yang2024-08-152024-08-1519951995https://hdl.handle.net/1828/20287Optimization problems with variational inequality constraints are a class of mathematical programming problems which have variational inequalities as constraints. Due to the implicit hierarchical structure of the constraint region induced by variational inequalities, these problems are usually very difficult to solve. Nevertheless, they have very important applications in the areas such as economics, operations research and engineering. This thesis is devoted to necessary optimality conditions for such problems. Using the penalty methods and nonsmooth analysis technique, two types of necessary optimality conditions are derived.76 pagesAvailable to the World Wide WebThesis