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On system of generalized vector variational inequalities

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Abstract

In this paper, we introduce a new system of generalized vector variational inequalities with variable preference. This extends the model of system of generalized variational inequalities due to Pang and Konnov independently as well as system of vector equilibrium problems due to Ansari, Schaible and Yao. We establish existence of solutions to the new system under weaker conditions that include a new partial diagonally convexity and a weaker notion than continuity. As applications, we derive existence results for both systems of vector variational-like inequalities and vector optimization problems with variable preference.

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Authors and Affiliations

  1. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China

    S. H. Hou

  2. College of Economics and Business Administration, Chongqing University, Chongqing, 400044, China

    H. Yu

  3. Institute of Systems Science, Chinese Academy of Science, Bei**g, China

    G. Y. Chen

Authors
  1. S. H. Hou
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  2. H. Yu
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  3. G. Y. Chen
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Correspondence to S. H. Hou.

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Hou, S.H., Yu, H. & Chen, G.Y. On system of generalized vector variational inequalities. J Glob Optim 40, 739–749 (2008). https://doi.org/10.1007/s10898-006-9112-2

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  • DOI: https://doi.org/10.1007/s10898-006-9112-2

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