## Journal of Applied Mathematics

- J. Appl. Math.
- Volume 2013, Special Issue (2013), Article ID 139123, 8 pages.

### New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces

**Full-text: Open access**

#### Abstract

We propose an explicit iterative scheme for finding a common element of the set of fixed points of infinitely many strict pseudo-contractive mappings and the set of solutions of an equilibrium problem by the general iterative method, which solves the variational inequality. In the setting of real Hilbert spaces, strong convergence theorems are proved. The results presented in this paper improve and extend the corresponding results reported by some authors recently. Furthermore, two numerical examples are given to demonstrate the effectiveness of our iterative scheme.

#### Article information

**Source**

J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 139123, 8 pages.

**Dates**

First available in Project Euclid: 14 March 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.jam/1394807734

**Digital Object Identifier**

doi:10.1155/2013/139123

**Mathematical Reviews number (MathSciNet)**

MR3094969

**Zentralblatt MATH identifier**

06950531

#### Citation

Duan, Peichao. New Hybrid Steepest Descent Algorithms for Equilibrium Problem and Infinitely Many Strict Pseudo-Contractions in Hilbert Spaces. J. Appl. Math. 2013, Special Issue (2013), Article ID 139123, 8 pages. doi:10.1155/2013/139123. https://projecteuclid.org/euclid.jam/1394807734

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Digital Object Identifier: doi:10.1016/0022-247X(76)90038-X

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