Approximation of solutions of generalized equations of Hammerstein type

作者：Chidume C E^*; Shehu Y

来源：Computers & Mathematics with Applications, 2012, 63(5): 966-974.

DOI：10.1016/j.camwa.2011.12.001

• Monotone operators
• Equations of Hammerstein type
• Strong convergence
• Hilbert spaces

Let H be a real Hilbert space. For each i = 1, 2, ... , m, let F-i, K-i : H -> H be bounded and monotone mappings. Assume that the generalized Hammerstein equation u+Sigma(m)(i=1) K(i)F(i)u = 0 has a solution in H. We construct a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the generalized Hammerstein equation.

• 出版日期2012-3