On Generalized Monotone Multifunctions with Applications to Optimality Conditions in Generalized Convex Programming
نویسندگان
چکیده
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 some properties of the normal cone to the lower level set of f . We also obtain necessary and sufficient optimality conditions in quasiconvex and pseudoconvex programming via variational inequalities.
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