# Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces

- Naseer Shahzad
^{1}Email author and - Aniefiok Udomene
^{2}

**2006**:18909

https://doi.org/10.1155/FPTA/2006/18909

© Shahzad and Udomene 2006

**Received: **21 April 2005

**Accepted: **18 July 2005

**Published: **23 February 2006

## Abstract

Suppose is a nonempty closed convex subset of a real Banach space . Let be two asymptotically quasi-nonexpansive maps with sequences such that and , and . Suppose is generated iteratively by where and are real sequences in . It is proved that (a) converges strongly to some if and only if ; (b) if is uniformly convex and if either or is compact, then converges strongly to some . Furthermore, if is uniformly convex, either or is compact and is generated by , where , are bounded, are real sequences in such that and , are summable; it is established that the sequence (with error member terms) converges strongly to some .

## Authors’ Affiliations

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