Article ID Journal Published Year Pages File Type
473064 Computers & Mathematics with Applications 2012 9 Pages PDF
Abstract

Let HH be a real Hilbert space. For each i=1,2,…,mi=1,2,…,m, let Fi,Ki:H→HFi,Ki:H→H be bounded and monotone mappings. Assume that the generalized Hammerstein equation u+∑i=1mKiFiu=0 has a solution in HH. We construct a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the generalized Hammerstein equation.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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