全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

B-(p,r)-不变凸规划问题的Wolfe型对偶

Keywords: 多目标规划,B-(p,r)-不变凸函数,对偶,有效解

Full-Text   Cite this paper   Add to My Lib

Abstract:

B-(p,r)-不变凸函数是一类新的广义凸函数.这篇文章利用B-(p,r)-不变凸函数建立了目标函数和约束函数均可微时的多目标规划问题的Wolfe型对偶,证明了目标函数和约束函数在B-(p,r)-不变凸函数限制下的弱对偶、强对偶和严格逆对偶定理,其结论具有一般性,拓宽了涉及不变B-凸函数、(p,r)-不变凸函数和不变凸函数的文献中关于Wolfe型对偶的结论.

References

[1]  DAS L N,NANDA S.Proper efficiency conditions and duality for multiobjective programming problems involving semilocally invex functions[J].Optimization,1995,34: 43-51.
[2]  EGUDO R R,HANSON M A.Multi-objective duality with invexity[J].Journal of Mathematical Analysis and Applications, 1987,126: 469-477.
[3]  BECTOr C R,SINGH C.B-vex functions[J].Journal of Optimization Theory and Applications,1991,71; 237-253.
[4]  MISHRA S K.On multiple-objective optimization with generalized univexity[J].Journal of Mathematical Analysis and Ap- plications,1998,224: 131-148.
[5]  BECTOR C R.Generalized B-vex programming[J].Journal of Optimization Theory and Applications,1993,76: 561-587.
[6]  ANTCZAK T.On (p,r)-invexity-type nonlinear programming problems[J].Journal of Mathematical Analysis and Applica- tions,2001,264: 382-397.
[7]  ANTCZAK T.(p,r)-invex sets and functions[J].Journal of Mathematical Analysis and Applications,2001,263: 355- 379.
[8]  ANTCZAK T.(p,r)-invexity in multiobjective programming[J].European Journal of Operational Research,2004,152: 72-78.
[9]  HANSON M A.On sufficiency of the Kuhn-Tucker conditions [J].Journal of Mathematical Analysis and Applications, 1981,80: 545-550.
[10]  GOMEZ R O.Generalized conivexity in multiobjective programming[J].Journal of Mathematical Analysis and Applications, 1999,233: 205-220.
[11]  BECTOR C R.Duality for multiobjective vex programming involving n-set functions[J].Journal of Mathematical Analysis and Applications,1996,202: 701-726.
[12]  ANTCZAK T.A class of B-(p,r)-invex functions and mathematical programming[J].Journal of Mathematical Analysis and Ap- plications,2003,286: 187-206.
[13]  林锉云,董加礼.多目标优化的方法与理论[M].长春:吉林教育出版社,1992. LIN Cuo-yun,DONG Jia-li.Method and Theory of Multiobjective Optimization[M].Changchun:Jilin Education Press, 1992.(in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133