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

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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.

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Authors and Affiliations

  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

    S. K. Mishra

  2. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Shouyang Wang

  3. Department of Management Sciences, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China

    K. K. Lai

Authors
  1. S. K. Mishra
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  2. Shouyang Wang
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  3. K. K. Lai
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Corresponding author

Correspondence to S. K. Mishra.

Additional information

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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Mishra, S.K., Wang, S. & Lai, K.K. Role of α-Pseudo-Univex Functions in Vector Variational-Like Inequality Problems. Jrl Syst Sci & Complex 20, 344–349 (2007). https://doi.org/10.1007/s11424-007-9029-y

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  • DOI: https://doi.org/10.1007/s11424-007-9029-y

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