Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity

Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 200-210.

Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity

1. Department of Information, Hunan Business College2. College of Math-ematics and Information Science, Henan University

Received:2006-08-30 Online:2009-06-30 Published:2023-07-04
About author: HU Qing-jie(1973-), male, native of Changde, Hunan, an associate professor of Hunan Business College, Ph.D., engages in nonlinear programming and symmetric cone programming; XIAO Yun-hai(1978-),male, native of Puyang, Henan, an associate professor of Henan University, Ph.D., engages in nonlinear programming; CHEN Nei-ping(1962-), female, native of Changsha, Hunan, a professor of Hunan Business College, M.S.D., engages in stochastic process.
Supported by:
Supported by Hunan Provincial Natural Science Foundation of China(05JJ40103)； Supported by Soft Science Research Fund of Hunan Province(2006ZK3028)； Supported by Scientific Research Fund of Hunan Provincial Education Department(105B0707, 08C470)；

Abstract

Abstract: In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal Econvex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288(2003) 365–382].

Key words: semilocal E-convex functions, fractional multiple objective programming, optimality conditions, duality

CLC Number:

O221.6

HU Qing-jie, XIAO Yun-hai, CHEN Nei-ping. Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 200-210.

[1]	GUO Yan-yan, GUO Qi. A Sort of Gray-scale Morphological Dilations and Erosions [J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 181-186.
[2]	ZHANG Qing-xiang, ZHANG Yong-zhan. The Optimality Conditions for Multiobjective Semi-inﬁnite Programming Involving Generalized Uniﬁed (C, α, ρ, d)-convexity [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 241-249.
[3]	ZHANG Qing-xiang, JIANG Yan, KANG Rui-rui. Suﬃcient Optimality Conditions for Multiobjective Programming Involving (V,ρ)h,φ-type I Functions [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 409-416.
[4]	ZHANG Jian, WANG Qi-lin. Higher-order Optimality Conditions for Henig Eﬃcient Solution in Set-valued Optimization under Cone-convexlike Maps [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 415-419.
[5]	WANG Qi-lin. ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 104-109.
[6]	QU He-mei, XUE Zhen-xia. Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(4): 543-550.
[7]	WANG Xiong-liang, LIU Tai-shun. Weighted Bergman Spaces on Bounded Symmetric Domains [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 36-44.

Optimality and Duality on Fractional Multi-objective Programming Under Semilocal E-convexity

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 7

Recommended Articles

Metrics

Comments