On the continuity of vector convex multivalued functions
---Publisher, magazine: ,
Publication year: 2002
Lưu Trích dẫn Chia sẻAbstract
The well-known Banach Steinhaus Theorem is extended to the case of convex and concave functions and its applications are shown to find necessary and sufficient conditions for the C-continuity of vector convex functions. Relations between upper and lower C-continuities are also obtained.
Tags: Vector convex functions, upper C-continuous, lower-C-continuous, upper C-convex, lower C-convex function, upper equisemicontinuous function, lower equisemicontinuous function.
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