JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (4): 116-126.doi: 10.6040/j.issn.1671-9352.0.2018.384

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Duality in multiobjective programming under(V, η)-type I symmetrical invexity

WANG Xue-feng, WANG Rui-jie, GAO Xiao-yan   

  1. College of Science, Xian University of Science and Technology, Xian 710054, Shaanxi, China
  • Published:2019-04-08

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Abstract: By using symmetrical gradient, a class of new generalized invex function, (V, η)-type I symmetrical invex function,(V, η)-type I strictly symmetrical quasi invex function and(V, η)-type I strictly symmetrical quasiqseudo invex function are defined. Under the new generalized invexity, the Mond-Weir dual model in a class of multi-objective programming problem is discussed, and several weak duality results, strong duality result and strict converse duality result are obtained.

Key words: (V, η)-type symmetrical invex function, multiobjective programming, symmetrical gradient, duality

CLC Number: 

  • O221
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