On convergence theorems for total asymptotically nonexpansive nonself-mappings in Banach spaces

Volume 5, Issue 5, pp 389--402 http://dx.doi.org/10.22436/jnsa.005.05.08

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Authors

Esra Yolacan - Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey. Hukmi Kiziltunc - Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey.

Abstract

In this paper, we define and study new strong convergence theorems of the modified Mann and the modified Ishikawa iterative scheme with errors for nonself-mappings which are total asymptotically nonexpansive in a uniformly convex Banach space.

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Keywords

• Asymptotically nonexpansive nonself-mappings
• total asymptotically nonexpansive nonself-mappings
• common fixed point
• uniformly convex Banach space.

MSC

•  47H09
•  47H10
•  46B20

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