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J. Korean Math. Soc. 2001; 38(6): 1275-1284
Printed November 1, 2001
Copyright © The Korean Mathematical Society.
Weak convergence to common fixed points of countable nonexpansive mappings and its applications
Yasunori Kimura and Wataru Takahashi
Hitotsubashi University and Tokyo Institute of Technology
In this paper, we introduce an iteration generated by countable nonexpansive mappings and prove a weak convergence theorem which is connected with the feasibility problem. This result is used to solve the problem of finding a solution of the countable convex inequality system and the problem of finding a common fixed point for a commuting countable family of nonexpansive mappings.
Keywords: nonexpansive mapping, fixed point, iteration, uniformly convex, feasibility problem
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