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On F-Implicit Generalized Vector Variational Inequalities

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Abstract

In this paper, we study the F-implicit generalized (weak) case for vector variational inequalities in real topological vector spaces. Both weak and strong solutions are considered. These two sets of solutions coincide whenever the mapping T is single-valued, but not set-valued. We use the Ferro minimax theorem to discuss the existence of strong solutions for F-implicit generalized vector variational inequalities.

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Authors and Affiliations

  1. Department of Occupational Safety and Health and General Education Center, China Medical University, Taichung, 404, Taiwan, ROC

    Y. C. Lin

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  1. Y. C. Lin
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Correspondence to Y. C. Lin.

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Communicated by F. Giannessi.

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Lin, Y.C. On F-Implicit Generalized Vector Variational Inequalities. J Optim Theory Appl 142, 557–568 (2009). https://doi.org/10.1007/s10957-009-9543-2

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