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Optimality Conditions for Constrained Convex Parabolic Control Problems via Duality
Optimality Conditions Constrained Convex Parabolic Control via Duality
2009/1/13
The optimality system is given for a phase-constrained control problem governed by a linear parabolic equation. The control may act on the boundary and the cost function may depend on the boundary val...
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints
Optimality Conditions Epi-convergence Epi-differentiability Support function
2008/7/1
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints.
On Generalized Monotone Multifunctions with Applications to Optimality Conditions in Generalized Convex Programming
Generalized monotone multifunction Generalized convex function Quasiconvex Pseudoconvex Generalized subdifferentials Normal cone Level set Local minimum Global minimum Variational inequalities
2008/6/27
Characterization of quasiconvexity and pseudoconvexity of lower semicontinuous functions on Banach spaces are presented in terms of abstract subdifferentials relying on a Mean Value Theorem. We give s...
We develop first order optimality conditions for constrained vector optimization. The partial orders for the objective and the constraints are induced by closed and convex cones with nonempty interior...