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Efficient solutions and optimality conditions for vector equilibrium problems

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Abstract

Necessary optimality conditions for efficient solutions of unconstrained and vector equilibrium problems with equality and inequality constraints are derived. Under assumptions on generalized convexity, necessary optimality conditions for efficient solutions become sufficient optimality conditions. Note that it is not required here that the ordering cone in the objective space has a nonempty interior.

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Acknowledgments

The authors would like to thank the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, 10307 , Hanoi, Vietnam

    Do Van Luu

  2. Department of Basic Sciences, Thai Nguyen University of Information and Communication Technology, Thai Nguyen, Vietnam

    Dinh Dieu Hang

Authors
  1. Do Van Luu
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  2. Dinh Dieu Hang
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Correspondence to Do Van Luu.

Additional information

This research was supported by Vietnam National Foundation for Science and Technology Development.

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Van Luu, D., Hang, D.D. Efficient solutions and optimality conditions for vector equilibrium problems. Math Meth Oper Res 79, 163–177 (2014). https://doi.org/10.1007/s00186-013-0457-2

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  • DOI: https://doi.org/10.1007/s00186-013-0457-2

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