Weak and Strong Convergence Theorems for Commutative Families of Positively Homogeneous Nonexpansive Mappings in Banach Spaces
نویسندگان
چکیده
In this paper, we first prove a weak convergence theorem by Mann’s iteration for a commutative family of positively homogeneous nonexpansive mappings in a Banach space. Next, using the shrinking projection method defined by Takahashi, Takeuchi and Kubota, we prove a strong convergence theorem for such a family of the mappings. These results are new even if the mappings are linear and contractive.
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