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Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints

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Abstract

In this paper, we consider weak efficiency in vector optimization problems with equilibrium constraints. We obtain results on the convergence of the marginal map, the value, and the solution sets.

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Authors and Affiliations

  1. Doctor, Department of Mathematics, Chongqing Normal University, Chongqing, China

    Y N Wu

  2. Chair Professor of Management, Department of Logistics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    T C E Cheng

Authors
  1. Y N Wu
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  2. T C E Cheng
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Additional information

This research was supported by Hong Kong Polytechnic University under Grant G-YY33 and by National Science Foundation of China under Grant 10401043.

The authors express their gratitude to Professor Guangya Chen for careful reading of an earlier version of this paper. The authors are grateful to the anonymous referees for helpful comments and constructive suggestions.

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Wu, Y.N., Cheng, T.C.E. Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints. J Optim Theory Appl 125, 453–472 (2005). https://doi.org/10.1007/s10957-004-1860-x

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  • DOI: https://doi.org/10.1007/s10957-004-1860-x

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