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Generalized variational-like inequalities with pseudomonotone set-valued mappings

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Abstract.

In this paper, authors introduce the concepts of \((\eta, h)\)-pseudo-monotone and \((\eta, h)\)-demi-monotone mappings and prove some existence results of solutions for a new class of generalized variational-like inequalities with pseudo-monotone set-valued mappings defined on noncompact sets in Hausdorff topological vector spaces.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, P.R. China, , , , , , CN

    Xie Ping Ding

  2. Department of Mathematics, The University of Queensland, St. Lucia, Brisbane, Australia 4072, , , , , , AU

    E. Tarafdar

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  1. Xie Ping Ding
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  2. E. Tarafdar
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Received: 15.9.1997

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Ding, X., Tarafdar, E. Generalized variational-like inequalities with pseudomonotone set-valued mappings. Arch. Math. 74, 302–313 (2000). https://doi.org/10.1007/s000130050447

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  • DOI: https://doi.org/10.1007/s000130050447

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