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

Pattanapong Tianchai and Rabian Wangkeeree

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-23

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:683584

DOI: 10.1155/2010/683584

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