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Generalized nonlinear implicit quasivariational inclusions

Abstract

We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implicit quasivariational inclusions and construct some new stable perturbed iterative algorithms with errors. We also give an application to a class of generalized nonlinear implicit variational inequalities.

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Correspondence to Ya-Ping Fang.

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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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Fang, YP., Huang, NJ., Kang, J.I. et al. Generalized nonlinear implicit quasivariational inclusions. J Inequal Appl 2005, 915890 (2005). https://doi.org/10.1155/JIA.2005.261

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  • DOI: https://doi.org/10.1155/JIA.2005.261