Annals of Functional Analysis

On an iteration process for common fixed points of nonself total asymptotically nonexpansive mappings in Banach spaces.

Safeer Hussain Khan, Hukmi Kiziltunc, and Yunus Purtas

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In this paper, we prove some weak and strong convergence results for a generalized three-step-three-mappings iteration scheme using a more satisfactory definition of nonself mappings. Our results approximate common fixed points of three nonself total asymptotically nonexpansive mappings in a uniformly convex Banach space.

Article information

Ann. Funct. Anal., Volume 6, Number 1 (2015), 235-248.

First available in Project Euclid: 19 December 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47J05
Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc. 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

Nonself total asymptotically strong and weak convergence common fixed point uniformly convex Banach spaces


Khan, Safeer Hussain; Kiziltunc, Hukmi; Purtas, Yunus. On an iteration process for common fixed points of nonself total asymptotically nonexpansive mappings in Banach spaces. Ann. Funct. Anal. 6 (2015), no. 1, 235--248. doi:10.15352/afa/06-1-18.

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