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An Iterative Method for Solving the Generalized System of Relaxed Cocoercive Quasivariational Inclusions and Fixed Point Problems of an Infinite Family of Strictly Pseudocontractive Mappings

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  • Pattanapong Tianchai
  • Rabian Wangkeeree

Abstract

We introduce an iterative scheme by the viscosity approximation to find the set of solutions of the generalized system of relaxed cocoercive quasivariational inclusions and the set of common fixed points of an infinite family of strictly pseudocontractive mappings problems in Hilbert spaces. We suggest and analyze an iterative scheme under some appropriate conditions imposed on the parameters; we prove that another strong convergence theorem for the above two sets is obtained. The results presented in this paper improve and extend the main results of Li and Wu (2010) and many others.

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  • Pattanapong Tianchai & Rabian Wangkeeree, 2010. "An Iterative Method for Solving the Generalized System of Relaxed Cocoercive Quasivariational Inclusions and Fixed Point Problems of an Infinite Family of Strictly Pseudocontractive Mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-23, September.
    • Handle: RePEc:hin:jijmms:683584
    DOI: 10.1155/2010/683584
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