Journal of Systems Science and Complexity

, Volume 20, Issue 3, pp 344–349 | Cite as

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

  • S. K. MishraEmail author
  • Shouyang Wang
  • K. K. Lai


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.


α-pseudo-univex functions vector optimization vector variational-like inequality problems 


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© Springer Science + Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and HumanitiesG. B. Pant University of Agriculture and TechnologyPantnagarIndia
  2. 2.Institute of Systems Science, Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijingChina
  3. 3.Department of Management SciencesCity University of Hong KongKowloon, Hong KongChina

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