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Ishikawa Iterative Process in Uniformly Smooth Banach Spaces

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Abstract

Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T:K → K is a continuous Φ-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.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, Nanjing, 210093, P R China

    Zhen-yu Huang

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  1. Zhen-yu Huang
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Huang, Zy. Ishikawa Iterative Process in Uniformly Smooth Banach Spaces. Applied Mathematics and Mechanics 22, 1306–1310 (2001). https://doi.org/10.1023/A:1016330307932

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