WEAK AND STRONG CONVERGENCE THEOREMS FOR GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

Mayumi Hojo; Wataru Takahashi

doi:10.32219/isms.73.1_31

Mayumi Hojo, Wataru Takahashi

著者情報

キーワード: Hilbert space, hybrid mapping, fixed point, mean ergodic theorem, weak convergence, strong convergence

ジャーナルフリー

2011 年 73 巻 1 号 p. 31-40

DOI https://doi.org/10.32219/isms.73.1_31

詳細

抄録

In this paper, we first obtain a weak mean convergence theorem of Baillon’s type for generalized hybrid mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem of Halpern’s type for generalized hybrid mappings in a Hilbert space.

責任著者(Corresponding author)

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