| REMARKS ON CRITERIA OF PREQUASI-INVEX FUNCTIONS |
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| 作者姓名： | Luo Hezhi Wu Huixian Zhu Yihua Dept.of Math. Shanghai Univ. Shanghai China. Dept.of Appl.Math. Zhejiang Univ.of Technology Zhejiang China. College of Science Hangzhou Dianzi Univ. Zhejiang China. College of Business Administration Zhejiang Univ. of Technology Zhejiang China. |
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| 作者单位： | Luo Hezhi 1，2 Wu Huixian 3 Zhu Yihua 41 Dept.of Math.，Shanghai Univ.，Shanghai 201800，China. 2 Dept.of Appl.Math.，Zhejiang Univ.of Technology，Zhejiang 310032，China. 3 College of Science，Hangzhou Dianzi Univ.，Zhejiang 310037，China. 4 College of Business Administration，Zhejiang Univ. of Technology，Zhejiang 310012，China. |
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| 基金项目： | Supported by the Zhejiang Province Natural Science Foundation( 60 2 0 95 ) |
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| 摘 要： | §1 IntroductionConvexity and generalized convexity play a central role in mathematical economics,engineering,managment science,and optimization theory.Therefore,the research onconvexity and generalized convexity is one of the most important aspects in mathematicalprogramming.Recently,1] derived criteria for quasiconvex functions under lowersemicontinuity and upper semicontinuity conditions.In2 ] Yang et al introduced variousconceptsof prequasi-invex functions,types ofgeneralized version o…
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| 收稿时间： | 11 March 2003 |
REMARKS ON CRITERIA OF PREQUASI-INVEX FUNCTIONS |
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| Luo Hezhi , Wu Huixian Zhu Yihua Dept.of Math.,Shanghai Univ.,Shanghai ,China. Dept.of Appl.Math.,Zhejiang Univ.of Technology,Zhejiang ,China. College of Science,Hangzhou Dianzi Univ.,Zhejiang ,China. College of Business Administration,Zhejiang Univ. of Technology,Zhejiang ,China..REMARKS ON CRITERIA OF PREQUASI-INVEX FUNCTIONS[J].Applied Mathematics A Journal of Chinese Universities,2004,19(3):335-341. |
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| Authors: | Luo Hezhi Wu Huixian Zhu Yihua Deptof Math Shanghai Univ Shanghai China Deptof ApplMath Zhejiang Univof Technology Zhejiang China College of Science Hangzhou Dianzi Univ Zhejiang China College of Business Administration Zhejiang Univ of Technology Zhejiang China |
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| Institution: | (1) Dept. of Math., Shanghai Univ., 201800 Shanghai, China;(2) Dept. of Appl. Math., Zhejiang Univ. of Technology, 310032 Zhejiang, China;(3) College of Science, Hangzhou Dianzi Univ., 310037 Zhejiang, China;(4) College of Business Administration, Zhejiang Univ. of Technology, 310012 Zhejiang, China |
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| Abstract: | Yang et al gave some criteria of prequasi invex functions,semistrictly prequasi invex functions and strictly prequasi invex functions in 2001,under a certain set of conditions.In this note,some of these conditions can be weakened to get the same results,and another simplified proof for a criterion of prequasi invex functions established under the condition of lower semicontinuity is given. |
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| Keywords: | prequasi invex function semistrictly prequasi invex function strictly prequasi-invex function criteria |
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