-optimal solutions in nonconvex semi-infinite programs with support functions.
Kim, Do Sang, Son, Ta Quang (2011)
Fixed Point Theory and Applications [electronic only]
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Kim, Do Sang, Son, Ta Quang (2011)
Fixed Point Theory and Applications [electronic only]
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Nguyen Dinh, Miguel A. Goberna, Marco A. López, Ta Quang Son (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper provides KKT and saddle point optimality conditions, duality theorems and stability theorems for consistent convex optimization problems posed in locally convex topological vector spaces. The feasible sets of these optimization problems are formed by those elements of a given closed convex set which satisfy a (possibly infinite) convex system. Moreover, all the involved functions are assumed to be convex, lower semicontinuous and proper (but not necessarily real-valued)....