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Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems

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Abstract

In this paper, we study the ε-generalized vector equilibrium problem (ε-GVEP) and the ε-extended vector equilibrium problem (ε-EVEP), which can be regarded as approximate problems to the generalized vector equilibrium problems (GVEP). Existence results for ε-GVEP and ε-EVEP are established. We investigate also the continuity of the solution mappings of ε-GVEP and ε-EVEP. In particular, two results concerning the lower semicontinuity of the solution mappings of ε-GVEP and ε-EVEP are presented.

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Authors and Affiliations

  1. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, 80424, Taiwan

    K. Kimura & J. C. Yao

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  1. K. Kimura
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  2. J. C. Yao
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Correspondence to J. C. Yao.

Additional information

Communicated by S. Schaible.

This research was partially supported by Grant NSC 95-2811-M-110-010.

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Kimura, K., Yao, J.C. Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems. J Optim Theory Appl 138, 429–443 (2008). https://doi.org/10.1007/s10957-008-9386-2

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  • DOI: https://doi.org/10.1007/s10957-008-9386-2

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