On Existence of Robust Minimizers
The concepts of robustness of sets and functions were proposed for the theory of integral global optimization. A robust minimizer of a nonlinear minimization problem can be approximated by a sequence of points at which the objective function is continuous. In this paper, we discuss the existence of robust minimizers. With the integral global optimality conditions, we extend the Palais-Smale condition to establish the existence results of robust minimizers for nonlinear programs whose objective function may be discontinuous.
KeywordsRobust minimizers existence theorems Palais-Smale conditions integral global optimality conditions
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