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Technical Note Discontinuous Implicit Quasivariational Inequalities in Normed Spaces

Author

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  • S. Huang

    (National Donghwa University)

  • J. C. Yao

    (National Sun Yat-Sen University)

Abstract

In this paper, we consider an implicit quasivariational inequality without continuity assumptions in normed spaces. The main result (Theorem 2.1) provides an infinite-dimensional version of Theorem 3.2 in Ref. 1. To achieve such a goal, we employ Theorem 3.2 in Ref. 1 and the technique of Cubiotti in Ref. 2. In particular, Theorem 3.1 covers a recent result of Cubiotti (Theorem 3.1 of Ref. 2) as a special case.

Suggested Citation

  • S. Huang & J. C. Yao, 2006. "Technical Note Discontinuous Implicit Quasivariational Inequalities in Normed Spaces," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 219-225, April.
    • Handle: RePEc:spr:joptap:v:129:y:2006:i:1:d:10.1007_s10957-006-9046-3
    DOI: 10.1007/s10957-006-9046-3
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    References listed on IDEAS

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    1. Paolo Cubiotti & Jen-Chih Yao, 1997. "Discontinuous implicit quasi-variational inequalities with applications to fuzzy mappings," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 46(2), pages 213-228, June.
    2. P. Cubiotti, 2002. "On the Discontinuous Infinite-Dimensional Generalized Quasivariational Inequality Problem," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 97-111, October.
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