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Strong convergence theorems for common fixed point algorithm in Hilbert spaces

HE Songnian, YANG Zhuo   

  1. (College of Science, CAUC, Tianjin 300300, China)
  • Received:2015-05-14 Revised:2015-09-04 Online:2016-06-22 Published:2016-06-06

Abstract:

A kind of algorithm for common fixed point of finite nonexpansive mappings is proposed, and the strong convergence is also proved. As an application of this result, two algorithms for minimum norm common fixed point are achieved. Research result of He and his collegues is extended.

Key words: Hilbert spaces, common fixed point, minimum norm common fixed point, strong convergence

CLC Number: