Bull. Korean Math. Soc. 2013; 50(3): 777-786
Printed May 31, 2013
https://doi.org/10.4134/BKMS.2013.50.3.777
Copyright © The Korean Mathematical Society.
Xian Jun Long, Jing Quan, and Dao-Jun Wen
Chongqing Technology and Business University, Yibin University, Chongqing Technology and Business University
The purpose of this paper is to establish some relationships between proper efficiency of set-valued optimization problems and proper efficiency of vector variational-like inequalities under the assumptions of generalized cone-preinvexity. Our results extend and improve the corresponding results in the literature.
Keywords: set-valued optimization problem, vector variational-like inequality, proper efficiency, contingent epiderivative, generalized cone-preinvexity
MSC numbers: 49J53, 90C26, 90C29
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