|Title:||CONVERGENCE THEOREMS TO COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS IN HILBERT SPACES (Study on Nonlinear Analysis and Convex Analysis)|
|Author's alias:||近藤, 豊将|
|Keywords:||common fixed point|
|Abstract:||In this article, we present methods for finding common fixed points of nonexpansive mappings. First, Mann type weak convergence theorems are proved. As a corollary, we obtain an alternative method to Mann's type iteration for finding a fixed point of a nonexpansive mapping. Also, a strong convergence theorem of Halpern type iterations is presented. The results base on those of Kondo and Takahashi .|
|Appears in Collections:||Study on Nonlinear Analysis and Convex Analysis|
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