| A General Theorem of the Alternative in the Context of Set-Valued Function |
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| 作者姓名： | ZHENGHAI HUANG YUDA HU |
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| 作者单位： | ZHENGHAI HUANG YUDA HU(Department of Statistics and Operations Research，Fudan University，Shanghai 200433，China)(Department of Applied Mathematics，Shanghai Jiaotong University Shanghai 200030，China) |
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| 摘 要： | 1.IntroductionTheclassicalworkOiltheoremsofthealternativeforsingle-valuedfunctionbyG..d..II]andMotzkin2]wereextendbymanyresearchersinvariousways(suchasJeyakumar'l'],Lily],andTamminen6]),whereconditionsofconvexityaremoreorlessrelaxed.Met's..rk:]givesemphasistotheoremsofthealternativeinthesettingofset-valuedfunctionwhereconditionofconvexityissettobecone-convex.Thispaperaimsatprovidinganunifiedextensionoftheabove-mentionedtheorems,andgivesoutageneraltheoremofthealternativeinthecontextofset…
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A General Theorem of the Alternative in the Context of Set-Valued Function |
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| ZHENGHAI HUANG YUDA HU.A General Theorem of the Alternative in the Context of Set-Valued Function[J].OR Transactions,1997(2). |
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| Authors: | ZHENGHAI HUANG YUDA HU |
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| Abstract: | In this paper, we produce a general theorem of the alternative in the context of setvalued function, which is an extension of a number of existing theorems of the alternative.In our discussion, real topological vector space is to be introduced as the foundation forpresentation. |
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| Keywords: | Set-value Function Theorem of the alternative Generalized cone-subconvexlike |
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