| MATHEMATICAL PROGRAMMING WITH A CLASS OF NON-SMOOTH FUNCTIONS |
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| 引用本文： | J. DUTTA (Department d'''' Economia i d'''' Historia Economia Universitat Autonoma de Barcelona,08193,Bellaterra,Barcelona,Spain) V. VETRIVEL (Department of Mathematics,Indian Institute of Technology,Madras 600036,India). MATHEMATICAL PROGRAMMING WITH A CLASS OF NON-SMOOTH FUNCTIONS[J]. 系统科学与复杂性, 2002, 0(1) |
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| 作者姓名： | J. DUTTA (Department d'''' Economia i d'''' Historia Economia Universitat Autonoma de Barcelona 08193 Bellaterra Barcelona Spain) V. VETRIVEL (Department of Mathematics Indian Institute of Technology Madras 600036 India) |
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| 作者单位： | J. DUTTA (Department d' Economia i d' Historia Economia Universitat Autonoma de Barcelona，08193，Bellaterra，Barcelona，Spain) V. VETRIVEL (Department of Mathematics，Indian Institute of Technology，Madras 600036，India) |
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| 摘 要： | 1 IntroductionIn 1981, H..,.,,[1] introduced the notion of invexity aJnd showed that for inequality con-strained programs, Karush~Kuhn-Tucker(KKT) conditions are sufficient fOr optimality if thefunctions involved are invex(differentiable) functiolis. Sinc…
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MATHEMATICAL PROGRAMMING WITH A CLASS OF NON-SMOOTH FUNCTIONS |
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| J. DUTTA. MATHEMATICAL PROGRAMMING WITH A CLASS OF NON-SMOOTH FUNCTIONS[J]. Journal of Systems Science and Complexity, 2002, 0(1) |
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| Authors: | J. DUTTA |
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| Abstract: | This is a continuation of a recent work(J. Dutta) on a class of non-smooth functions and their subdifferentials. In this note, necessary optimality conditions are derived for the inequality constrained mathematical programming problems involving such non-smooth functions by employing Gordan's Alternative Theorem. This new approach is simpler than the earlier work of Yang and Craven. Mond-Weir type duality theorems are also obtained. |
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| Keywords: | Subdifferential invex functions KKT conditions. |
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