This paper presents a type of variational tinuous functions on certain subsets in duals principles for real valued ω^＊ lower semicon- of locally convex spaces, and resolve a problem concerning differentiability of c...This paper presents a type of variational tinuous functions on certain subsets in duals principles for real valued ω^＊ lower semicon- of locally convex spaces, and resolve a problem concerning differentiability of convex functions on general Banach spaces. They are done through discussing differentiability of convex functions on nonlinear topological spaces and convexification of nonconvex functions on topological linear spaces.展开更多
基金Project supported by the National Natural Science Foundation of China (No.10471114)the Pujian Provincial Natural Science Foundation of China (No.F00021)the Tianyuan Foundation of Mathematics (No,A0324618).
文摘This paper presents a type of variational tinuous functions on certain subsets in duals principles for real valued ω^＊ lower semicon- of locally convex spaces, and resolve a problem concerning differentiability of convex functions on general Banach spaces. They are done through discussing differentiability of convex functions on nonlinear topological spaces and convexification of nonconvex functions on topological linear spaces.
