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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). The key result...
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