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| A Strong Optimization Theorem in Locally Convex Spaces |
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Citation： |
CHENG Lixin,TENG Yanmei.A Strong Optimization Theorem in Locally Convex Spaces[J].Chinese Annals of Mathematics B,2003,24(3):395~402 |
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Net amount： 735 |
Authors： |
CHENG Lixin; TENG Yanmei |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 10071063). |
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| Abstract： |
This paper presents a geometric characterization of convex sets in locally convex spaces on which a strong optimization theorem of the Stegall-type holds, and gives Collier’s theorem of $w*$ Asplund spaces a localized setting. |
Keywords： |
Optimization, Geometry of infinite dimensions, Convexification of nonconvex function, Convex function, Differentiability, Locally convex space |
Classification： |
46B20, 26E15, 46G05 |
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