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System of Generalized Implicit Vector Quasivariational Inequalities

Journal of Inequalities and Applications volume 2007, Article number: 036845 (2008) Cite this article

Abstract

We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system of generalized vector quasivariational-like inequalities, the system of generalized vector variational inequalities, the system of variational inequalities, the generalized implicit vector quasivariational inequality, as well as various extensions of the classic variational inequalities in the literature, and we present some existence results of a solution for the SGIVQVI without any monotonicity conditions.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, China

    Jian-Wen Peng

  2. College of Economics and Management, Beijing University of Chemical Technology, Beijing, 100029, China

    Xiao-Ping Zheng

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  1. Jian-Wen Peng
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  2. Xiao-Ping Zheng
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Correspondence to Jian-Wen Peng.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Peng, JW., Zheng, XP. System of Generalized Implicit Vector Quasivariational Inequalities. J Inequal Appl 2007, 036845 (2008). https://doi.org/10.1155/2007/36845

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