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  • Research Article
  • Open Access

Generalized nonlinear implicit quasivariational inclusions

  • 1Email author,
  • 1,
  • 2 and
  • 2
Journal of Inequalities and Applications20052005:915890

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

  • Received: 10 August 2003
  • Published:

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.

Authors’ Affiliations

(1)
Department of Mathematics, Sichuan University, Sichuan, Chengdu, 610064, China
(2)
Department of Mathematics Education and the Research Institute of Natural Sciences, Gyeongsang National University, Chinju, 660-701, Korea

Copyright

© Fang et al. 2005

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