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    Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems

    Access Status
    Fulltext not available
    Authors
    Li, S.
    Chen, C.
    Li, X.
    Teo, Kok Lay
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Li, S.J. and Chen, C.R. and Li, X.B. and Teo, K.L. 2011. Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems. European Journal of Operational Research. 210: pp. 148-157.
    Source Title
    European Journal of Operational Research
    DOI
    10.1016/j.ejor.2010.10.005
    ISSN
    0377-2217
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/37293
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we establish the Hölder continuity of solution mappings to parametric vector quasiequilibrium problems in metric spaces under the case that solution mappings are set-valued. Our main assumptions are weaker than those in the literature, and the results extend and improve the recent ones. Furthermore, as an application of Hölder continuity, we derive upper bounds for the distance between an approximate solution and a solution set of a vector quasiequilibrium problem with fixed parameters.

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