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Generalized nonlinear implicit quasivariational inclusions

Journal of Inequalities and Applications volume 2005, Article number: 915890 (2005) Cite this article

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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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Sichuan, Chengdu, 610064, China

    Ya-Ping Fang & Nan-Jing Huang

  2. Department of Mathematics Education and the Research Institute of Natural Sciences, Gyeongsang National University, Chinju, 660-701, Korea

    Jung Im Kang & Yeol Je Cho

Authors
  1. Ya-Ping Fang
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  2. Nan-Jing Huang
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  3. Jung Im Kang
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  4. Yeol Je Cho
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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