Weak and Strong Convergence Theorems for Positively Homogenuous Nonexpansive Mappings in Banach Spaces
Weak and Strong Convergence Theorems for Positively Homogenuous Nonexpansive Mappings in Banach Spaces
Our purpose in this paper is first to prove a weak convergence theorem by Mann's iteration for positively homogeneous nonexpansive mappings in a Banach space.Further, using the shrinking projection method defined by Takahashi, Takeuchi and Kubota, we prove a strong convergence theorem for such mappings.From two results, we obtain weak …