JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
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PENG Zhen-hua, XU Yi-hong*, TU Xiang-qiu
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Abstract: The concept of near preinvexity was introduced, which is weaker than preinvexity. An example was given to illustrate that near preinvexity is a properly generalization of preinvexity. With the help of the properties of generalized contingent epiderivative, a necessary optimality condition was established for setvalued optimization to attain its weakly efficient elements. When objective function is nearly preinvex, for weakly efficient elements an optimality sufficient condition was also derived.
Key words: near preinvexity, generalized contingent epiderivative, weakly efficient element
PENG Zhen-hua, XU Yi-hong*, TU Xiang-qiu. Optimality conditions for weakly efficient elements of nearly preinvex set-valued optimizaton#br#[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(05): 41-44.
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URL: http://lxbwk.njournal.sdu.edu.cn/EN/10.6040/j.issn.1671-9352.0.2014.637
http://lxbwk.njournal.sdu.edu.cn/EN/Y2014/V49/I05/41
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