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Strong Convergence Theorems for Solutions of Equations of Hammerstein Type

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  • 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.

Suggested Citation

  • Chih-Sheng Chuang, 2013. "Strong Convergence Theorems for Solutions of Equations of Hammerstein Type," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:541079
    DOI: 10.1155/2013/541079
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    1. Felix E. Browder & Djairo G. de Figueiredo & Chaitan P. Gupta, 1970. "Maximal Monotone Operators and Nonlinear Integral Equations of Hammerstein Type," Springer Books, in: David G. Costa (ed.), Djairo G. de Figueiredo - Selected Papers, edition 127, pages 17-22, Springer.
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