[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2010.26.5.693

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)

Publication Information

East Asian mathematical journal / v.26, no.5, 2010 , pp. 693-702 More about this Journal

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;

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