Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs - Dinh, N.; Mordukhovich, B.; Nghia, T. T. A. (Mathematical programming, 2010)
Keywords: Applied sciences; Banach spaces; Calculus of variations and optimal control; Calculus of Variations and Optimal Control; Optimization; Combinatorics; Control theory; Convex analysis; Exact sciences and technology; Full Length Paper; Mathematical analysis; Mathematical and Computational Physics; Mathematical functions; Mathematical Methods in Physics; Mathematical programming; Mathematics; Mathematics and Statistics; Mathematics of Computing; Numerical Analysis; Operational research and scientific management; Operational research. Management science; Optimization; Parameter optimization; Partial differential equations; Sciences and techniques of general use; Studies; Theoretical; Optimality conditions; Marginal and value functions; Semi-infinite and infinite programming; 90C30; Convex inequality constraints; 49J53; 49J52; Bilevel programming; Generalized differentiation; Variational analysis and parametric optimization; Well-posedness and sensitivity; Lipschitz condition; Parametric analysis; Subdifferential; Parametric programming; Semi infinite programming; Non linear programming; Convex programming; Optimization; Nonsmooth analysis; Inequality constraint; Variational calculus; Lipschitz function; Convex function; Infinite dimension; Mathematical programming; Existence theorem; Well posed problem; Continuous function; Program specification; Optimality condition; Optimality criterion