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Generalized variational inequalities for maximal monotone operators

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  • Nguyen Quynh Nga

    (Vietnam Academy of Science and Technology
    Vietnam Academy of Science and Technology)

Abstract

In this paper, we present some new results on the existence of solutions of generalized variational inequalities for set-valued mappings in reflexive Banach spaces with Fréchet differentiable norms. Moreover, the structure of the solution sets is investigated. The result obtained in this paper improves and extends the ones announced by Fang and Peterson [S. C. Fang and E. L. Peterson, Generalized Variational Inequalities, J. Optim. Theory Appl., 38 (1982), 363-383] and others.

Suggested Citation

  • Nguyen Quynh Nga, 2021. "Generalized variational inequalities for maximal monotone operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 96-104, March.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:1:d:10.1007_s13226-021-00118-4
    DOI: 10.1007/s13226-021-00118-4
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    References listed on IDEAS

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    1. Y. Chiang, 2012. "Characterizations for solidness of dual cones with applications," Journal of Global Optimization, Springer, vol. 52(1), pages 79-94, January.
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