Approximation of solutions of generalized equations of Hammerstein type

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• 作者：C.E. Chidume ; ^{cchidume@aust.edu.ng} ; Y. Shehu ^{deltanougt2006@yahoo.com}
• 关键词：Monotone operators ; Equations of Hammerstein type ; Strong convergence ; Hilbert spaces
• 刊名：Computers and Mathematics with Applications
• 出版年：2012
• 出版时间：March, 2012
• 年：2012
• 卷：63
• 期：5
• 页码：966-974
• 全文大小：231 K

文摘

Let be a real Hilbert space. For each , let be bounded and monotone mappings. Assume that the generalized Hammerstein equation has a solution in . We construct a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the generalized Hammerstein equation.