Proper efficiency for set-valued optimization problems and vector variational-like inequalities
Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 777-786
https://doi.org/10.4134/BKMS.2013.50.3.777
Printed May 31, 2013
Xian Jun Long, Jing Quan, and Dao-Jun Wen
Chongqing Technology and Business University, Yibin University, Chongqing Technology and Business University
Abstract : 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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