Journal of East China Normal University(Natural Science) >

2016 , Vol. 2016 >Issue 1: 43 - 50

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.01.006

Article

Optimality conditions and duality for a class of non-smooth fractional optimization problems

  • WANG Guo-Dong ,
  • CHEN Lin
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Received date: 2014-11-04

  Online published: 2016-03-10

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Abstract

This paper studies a class of non-smooth multi-objective fractional optimization problems, using the tools in variational analysis and the generalized differential, and establishes necessary conditions and sufficient conditions under some new convexity. These results, which are relatively new in the study of non-smooth multi-objective fractional optimization problems, are characterized by limiting subdifferential. And the study of limiting subdifferential is a pretty hot subject in recent years. In addition, the weak duality and the strong duality results have been obtained in Mond-Weir type duality.

Key words： non-smooth; limiting subdifferential; generalized convexity; duality

Cite this article

WANG Guo-Dong , CHEN Lin . Optimality conditions and duality for a class of non-smooth fractional optimization problems[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(1) : 43 -50 . DOI: 10.3969/j.issn.1000-5641.2016.01.006

References

[1] MORDUKHOVICH B S. Variational Analysis and Generalized Differentiation I: Basic Theory [M]. Berlin: Springer, 2006.
[2] CLARKE F H. Optimization and Nonsmooth Analysis [M]. New York: Wiley-Interscience, 1983.
[3] ROCKAFELLAR R T. Convex Analysis [M]. Princeton: Princeton University Press, 1970.
[4] CHEN G Y, HUANG X X, YANG X Q. Vector Optimization: Set-Valued and Variational Analysis [M]. Berlin: Springer-Verlag, 2005.
[5] SOGHORA N. Optimatlity and duality for nonsmooth multiobjective fractional programming with mixed constraints [J]. J Glob Optim, 2008, 41: 103-115.
[6] CHUONG T D, KIM D S. Nonsmooth semi-infinite multiobjective optimization problems [J]. J Optim Theory Appl, 2014, 160: 748-762.
[7] CHUONG T D, KIM D S. Optimality conditions and duality in nonsmooth multiobjective optimization problems [J]. Annals of Operations Research, 2014, 217(1): 117-136.
 
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