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Ishikawa Iterative Process in Uniformly Smooth Banach Spaces
Authors:Zhen-yu Huang
Institution:Department of Mathematics, Nanjing University, Nanjing 210093, P R China
Abstract:Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T:K rarr K is a continuous PHgr-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {x n } converges strongly to the unique fixed point x * of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results.
Keywords:Ishikawa iterative process  PHgr-stongly pseudocontractive operators" target="_blank">gif" alt="PHgr" align="BASELINE" BORDER="0">-stongly pseudocontractive operators  uniformly smooth Banach spaces
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