Convergence to common fixed points of a finite family of nonexpansive mappings |
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Authors: | Yasunori Kimura Wataru Takahashi Masashi Toyoda |
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Institution: | (1) Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo 152-8552, Japan |
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Abstract: | We study approximation of common fixed points of a finite family of nonexpansive mappings and introduce an iterative scheme defined by using a convex combination of mappings. Strong convergence of the iteration is obtained under several types of control conditions.Received: 28 May 2004 |
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Keywords: | Primary 47H09 Secondary 47H10 47H17 |
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