A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically ϕ -Strongly Pseudocontractive Mappings

Luigi Muglia; Yonghong Yao

doi:10.1155/2012/912050

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Home > Journals > J. Appl. Math. > Volume 2012 > Issue SI03 > Article

2012 A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically

\varphi

-Strongly Pseudocontractive Mappings

Luigi Muglia, Yonghong Yao

J. Appl. Math. 2012(SI03): 1-14 (2012). DOI: 10.1155/2012/912050

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Abstract

In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically $\varphi$ -strongly pseudocontractive mappings in a uniformly smooth Banach space.

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Luigi Muglia. Yonghong Yao. "A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically $\varphi$ -Strongly Pseudocontractive Mappings." J. Appl. Math. 2012 (SI03) 1 - 14, 2012. https://doi.org/10.1155/2012/912050