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Discontinuous implicit quasi-variational inequalities with applications to fuzzy mappings

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  • Paolo Cubiotti
  • Jen-Chih Yao

Abstract

In this paper, we consider the implicit quasi-variational inequality without continuity assumptions of data mappings. Our approach here is completely different from the one based on KKM theorem in the literature. Interesting applications to generalized quasi-variational inequalities for both discontinuous mappings and discontinuous fuzzy mappings are given. Copyright Physica-Verlag 1997

Suggested Citation

  • 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.
    • Handle: RePEc:spr:mathme:v:46:y:1997:i:2:p:213-228
    DOI: 10.1007/BF01217691
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    References listed on IDEAS

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    1. D. Chan & J. S. Pang, 1982. "The Generalized Quasi-Variational Inequality Problem," Mathematics of Operations Research, INFORMS, vol. 7(2), pages 211-222, May.
    2. Romesh Saigal, 1976. "Extension of the Generalized Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 1(3), pages 260-266, August.
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    Cited by:

    1. Cunlin Li & Zhifu Jia & Yeong-Cheng Liou, 2019. "A Class of Nonlinear Fuzzy Variational Inequality Problems," Mathematics, MDPI, vol. 7(1), pages 1-13, January.
    2. 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.
    3. B. T. Kien & N. C. Wong & J. C. Yao, 2007. "On the Solution Existence of Generalized Quasivariational Inequalities with Discontinuous Multifunctions," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 515-530, December.

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