| ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS |
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| 作者姓名： | S. K. MISHRA Shouyang WANG K. K. LAI |
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| 作者单位： | [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. |
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| 基金项目： | 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）. |
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| 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.
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| 关 键 词： | 向量优化 向量变化 不等式 凸函数 |
| 修稿时间： | 2006-09-08 |
Role of α-Pseudo-Univex Functions in Vector Variational-Like Inequality Problems |
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| S. K. MISHRA Shouyang WANG K. K. LAI.Role of α-Pseudo-Univex Functions in Vector Variational-Like Inequality Problems[J].Journal of Systems Science and Complexity,2007,20(3):344-349. |
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| Authors: | S K Mishra Shouyang Wang K K Lai |
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| Institution: | (1) Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G. B. Pant University of Agriculture and Technology, 263 145 Pantnagar, 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 |
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| Abstract: | In this paper, we introduce a new class of generalized convex function, namely, α-pseudo-univex 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.
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). |
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| Keywords: | α -pseudo-univex functions vector optimization vector variational-like inequality problems |
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