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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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