East Asian mathematical journal
- Volume 26 Issue 5
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- Pages.693-702
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- 2010
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
DOI QR Code
COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS BY ONE-STEP ITERATION PROCESS IN CONVEX METRIC SPACES
- Abbas, Mujahid (DEPARTMENT OF MATHEMATICS LAHORE UNIVERSITY OF MANAGEMENT SCIENCES) ;
- Khan, Safeer Hussain (DEPARTMENT OF MATHEMATICS, STATISTICS AND PHYSICS QATAR UNIVERSITY) ;
- Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)
- Received : 2010.09.28
- Accepted : 2010.11.12
- Published : 2010.11.30
Abstract
We study one-step iteration process to approximate common fixed points of two nonexpansive mappings and prove some convergence theorems in convex metric spaces. Using the so-called condition (A'), the convergence of iteratively defined sequences in a uniformly convex metric space is also obtained.
Keywords
- One-step iteration process;
- nonexpansive mapping;
- common fixed point;
- condition (A');
- convex metric space