Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 538912, 29 pages.

Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem

Tanom Chamnarnpan and Poom Kumam

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Abstract

We introduce a new iterative algorithm for solving a common solution of the set of solutions of fixed point for an infinite family of nonexpansive mappings, the set of solution of a system of mixed equilibrium problems, and the set of solutions of the variational inclusion for a β -inverse-strongly monotone mapping in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. Furthermore, we give a numerical example which supports our main theorem in the last part.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 538912, 29 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357180267

Digital Object Identifier
doi:10.1155/2012/538912

Mathematical Reviews number (MathSciNet)
MR2889123

Zentralblatt MATH identifier
1235.65062

Citation

Chamnarnpan, Tanom; Kumam, Poom. Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem. J. Appl. Math. 2012, Special Issue (2012), Article ID 538912, 29 pages. doi:10.1155/2012/538912. https://projecteuclid.org/euclid.jam/1357180267


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