COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS BY ONE-STEP ITERATION PROCESS IN CONVEX METRIC SPACES

Mujahid Abbas, Safeer Hussain Khan, Jong Kyu Kim · 2010

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. 1.

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