上下半连续函数的H〖AKO¨〗LDER次微分逼近中值定理

Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (1): 45-51.

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H[AKo¨D]lder Subdifferential of Lower Semicontinuous FunctionsOn the [WTHX]Lp(1＜p＜∞)

HU Chang-Song

Online:2003-02-25 Published:2003-02-25
Supported by:
湖北省教育厅重大科技项目资助

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Abstract

Abstract:

This present paper show that property and approximate mean value theorem for H[AKo¨D]lder subdifferential of lower semicontinuous functions on the Lp(1＜p＜∞).

Key words: Subdifferential； Lp(1＜p＜∞) space； Lower； Semicontinuous functions

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HU Chang-Song. H[AKo¨D]lder Subdifferential of Lower Semicontinuous FunctionsOn the [WTHX]Lp(1＜p＜∞)[J].Acta mathematica scientia,Series A, 2003, 23(1): 45-51.

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References

［1］Zagrodny D. Approximate mean value theorem for upper subderivatives. Nonl

inear Analysis, 1988,
[STHZ]12
[STBZ]:1413-1428
［2］Correa R, Joffre A, Thibault L. Characterization of lower semicontinu

ous convex functions. Pro Amer Math Soc, 1992,116:67-72
［3］Correa R, Joffre A, Thibault L. Subdifferential monotonicity as characteri

zation of convex functions. Numer Funct Anal Optimz, 1994,15:531-535

［4］郭兴明. 下半连续函数的Proximal次微分与广义中值定理. 数学物理学报, 1998，18(3):324-329
［5］游兆永，龚怀云，徐宗本. 非线性分析. 西安:西安交通大学出版社, 1991

［6］Borwein J M, Preiss D. A smooth variational principle with applicatio

ns to subdifferentiability and to differentiability of convex functions. Trans American Math Soc

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