Role of α-Pseudo-Univex Functions in Vector Variational-Like Inequality Problems

被引:0
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作者
S. K. Mishra
Shouyang Wang
K. K. Lai
机构
[1] G. B. Pant University of Agriculture and Technology,Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities
[2] Chinese Academy of Sciences,Institute of Systems Science, Academy of Mathematics and Systems Science
[3] City University of Hong Kong,Department of Management Sciences
关键词
α-pseudo-univex functions; vector optimization; vector variational-like inequality problems;
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摘要
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.
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页码:344 / 349
页数:5
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