| APPROXIMATE SUBDIFFERENTIALS AND NONSMOOTH ANALYSIS FINITE DIMENSIONS |
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| 作者姓名： | WANG Yuntong |
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| 作者单位： | Nankai Institute of Mathematics，Tianjin 300071，China |
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| 摘 要： | Ioffe's approximate subdifferentials are reviewed and some of his resultsare generalized.An extension of the calculus of the approximate subdifferentials forthe sums to any finite number of functions is provided along with a generalizationof the Dubovitzkii-Milyutin theorem.The presentation also indicates some of thelimitations of nonsmooth analysis and optimization.Restriction to the class offunction which is suitable for most of the purposes in nonsmooth optimization issuggested.
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APPROXIMATE SUBDIFFERENTIALS AND NONSMOOTH ANALYSIS FINITE DIMENSIONS |
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| WANG Yuntong.APPROXIMATE SUBDIFFERENTIALS AND NONSMOOTH ANALYSIS FINITE DIMENSIONS[J].Journal of Systems Science and Complexity,1992(1). |
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| Authors: | WANG Yuntong |
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| Abstract: | Ioffe's approximate subdifferentials are reviewed and some of his resultsare generalized.An extension of the calculus of the approximate subdifferentials forthe sums to any finite number of functions is provided along with a generalizationof the Dubovitzkii-Milyutin theorem.The presentation also indicates some of thelimitations of nonsmooth analysis and optimization.Restriction to the class offunction which is suitable for most of the purposes in nonsmooth optimization issuggested. |
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| Keywords: | Approximate subdifferentials Dini subdifferential Clarke generalized gradient contingent cone Clarke tangent cone normal cone regular function strong general position property subdifferential calculus |
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