## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2013, Special Issue (2013), Article ID 541079, 8 pages.

### Strong Convergence Theorems for Solutions of Equations of Hammerstein Type

Chih-Sheng Chuang

#### Abstract

We consider an auxiliary operator, defined in a real Hilbert space in terms of $K$ and $F$, that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). We use an explicit iterative process that converges strongly to a solution of equation of Hammerstein type. Furthermore, our results improve related results in the literature.

#### Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 541079, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394807748

Digital Object Identifier
doi:10.1155/2013/541079

Mathematical Reviews number (MathSciNet)
MR3056209

Zentralblatt MATH identifier
1282.47075

#### Citation

Chuang, Chih-Sheng. Strong Convergence Theorems for Solutions of Equations of Hammerstein Type. J. Appl. Math. 2013, Special Issue (2013), Article ID 541079, 8 pages. doi:10.1155/2013/541079. https://projecteuclid.org/euclid.jam/1394807748

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