| THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING |
| |
| 作者姓名： | $MENG Zhiqing |
| |
| 作者单位： | $MENG Zhiqing(Department of Computer Science，Xiangtan University，Hunan 411105; Department of Applied Mathematics; Xidian University，Xi，an 710071，China)HU Yuda(Department of Applied Mathematics，Shanghai Jiao Tong University，Shanghai 200030，China) |
| |
| 摘 要： | 1.IntroductionInrecentyears,thetheoriesofgenerealdifferentialhaveplayedimportantrQleinthestudyanddevelopmelitofnonlinearfields(see1-6])-Wehaveintroducedatypeofthecone-weaksubdfferentialofconvexset-valuedmappinginalocallyconvextopologicalvectorspacein7-1l].ItdifferentsfromthosedefinedbyJ-P-Aubin,Ekeland,T.Tanino,Y.Sawaragi,B.S.Mordukhovichin3-6].Ithasbeenusedtosolvetheoptimalproblemsofset-va-luedmaPpingssuchasthestabilityofoptimalsolutions,optimalconditions,dualtheorem,saddlepointstheo…
|
THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING |
| |
| $MENG Zhiqing.THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING[J].Journal of Systems Science and Complexity,2000(3). |
| |
| Authors: | $MENG Zhiqing |
| |
| Abstract: | In this paper, we introduce the concepts of the conesweak subdifferential and the cone-weak direction derivative of convex set-valued mapping in a locally convex topological vector space. We study the relationship between them and obtain some important results. |
| |
| Keywords: | Set-valued mapping cone-weak subgradient cone-weak subdifferential coneweak direction derivative |
| 本文献已被 CNKI 等数据库收录！ |
