广义V-r-Ⅰ型不变凸非光滑多目标规划问题

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Nonsmooth Multiobjective Programming underGeneralized V-r-Type-Ⅰ Invexity

YAN Chunlei

College of Mathematics, Qingdao University, Qingdao 266071, Shandong Province, China

Received:2013-10-21 Online:2014-07-26 Published:2014-09-26
Contact: YAN Chunlei E-mail:13305326208@189.cn

Abstract

Abstract:

Based on a new class of concept of generalized V-r-type-Ⅰ invexity defined for nonsmooth multiobjective programming problems, FritzJohn and Karush-Kuhn-Tuker sufficiently optimal conditions were obtained for a feasible point to be an efficient solution. Moreover, a mixed type dual was formulated and weak duality and strict converse duality theorems were proved.

Key words: nonsmooth multiobjective programming, efficient solution, generalized V-r-type-Ⅰ invexity, sufficient optimality conditions, mixed duality

CLC Number:

O211.6

YAN Chunlei. Nonsmooth Multiobjective Programming underGeneralized V-r-Type-Ⅰ Invexity[J].Journal of Jilin University Science Edition, 2014, 52(04): 687-692.

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Nonsmooth Multiobjective Programming underGeneralized V-r-Type-Ⅰ Invexity

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