ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS  

作　　者：S. K. MISHRA Shouyang WANG K. K. LAI 

机构地区：[1]Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G. B. Pant University of Agriculture and Technology, Pantnagar-263 145, India. [2]Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China. [3]Department of Management Sciences, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China.

出　　处：《Journal of Systems Science & Complexity》2007年第3期344-349,共6页系统科学与复杂性学报（英文版）

基　　金：The research is supported by the Department of Science and Technology,Ministry of Science and Technology,Government of India under the SERC Fast Track Scheme for Young Scientists 2001-2002(No.SR/FTP/MS-22/2001).

摘　　要：In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results.

关 键 词：α-pseudo-univex functions vector optimization vector variational-like inequality problems. 

分 类 号：O22[理学—运筹学与控制论]