On the Convergence of Mann and Ishikawa Iterative Processes for Asymptotically ϕ -Strongly Pseudocontractive Mappings

Xuewu Wang; Giuseppe Marino; Luigi Muglia

doi:10.1155/2012/850104

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Article

2012 On the Convergence of Mann and Ishikawa Iterative Processes for Asymptotically

\varphi

-Strongly Pseudocontractive Mappings

Xuewu Wang, Giuseppe Marino, Luigi Muglia

Abstr. Appl. Anal. 2012: 1-19 (2012). DOI: 10.1155/2012/850104

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Abstract

We prove the equivalence and the strong convergence of (1) the modified Mann iterative process and (2) the modified Ishikawa iterative process for asymptotically $\varphi$ -strongly pseudocontractive mappings in a uniformly smooth Banach space.

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Xuewu Wang. Giuseppe Marino. Luigi Muglia. "On the Convergence of Mann and Ishikawa Iterative Processes for Asymptotically $\varphi$ -Strongly Pseudocontractive Mappings." Abstr. Appl. Anal. 2012 1 - 19, 2012. https://doi.org/10.1155/2012/850104