Proper efficiency for set-valued optimization problems and vector variational-like inequalities
Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 777-786
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
Downloads: Full-text PDF  

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail:   | Powered by INFOrang Co., Ltd