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On Vector Variational Inequalities in Reflexive Banach Spaces

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Abstract

In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. By using Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solvability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma

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Authors and Affiliations

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

    Nan-Jing Huang & Ya-Ping Fang

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  1. Nan-Jing Huang
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  2. Ya-Ping Fang
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Correspondence to Nan-Jing Huang.

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This paper is dedicated to Professor Franco Giannessi for his 68th birthday

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Huang, NJ., Fang, YP. On Vector Variational Inequalities in Reflexive Banach Spaces. J Glob Optim 32, 495–505 (2005). https://doi.org/10.1007/s10898-003-2686-z

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  • DOI: https://doi.org/10.1007/s10898-003-2686-z

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