## 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

#### 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 $\beta$-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

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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