Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 816529, 26 pages.

Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings

Chaichana Jaiboon and Poom Kumam

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Abstract

We propose new iterative schemes for finding the common element of the set of common fixed points of countable family of nonexpansive mappings, the set of solutions of the variational inequality problem for relaxed cocoercive and Lipschitz continuous, the set of solutions of system of variational inclusions problem, and the set of solutions of equilibrium problems in a real Hilbert space by using the viscosity approximation method. We prove strong convergence theorem under some parameters. The results in this paper unify and generalize some well-known results in the literature.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 816529, 26 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357180251

Digital Object Identifier
doi:10.1155/2012/816529

Mathematical Reviews number (MathSciNet)
MR2923357

Zentralblatt MATH identifier
1244.65076

Citation

Jaiboon, Chaichana; Kumam, Poom. Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings. J. Appl. Math. 2012, Special Issue (2012), Article ID 816529, 26 pages. doi:10.1155/2012/816529. https://projecteuclid.org/euclid.jam/1357180251


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