Hybrid algorithm for an α -nonexpansive mapping in a Banach space
Zi‐Ming Wang, Yongfu Su, Jinlong Kang · The Journal of Nonlinear Sciences and Applications · 2012
In this paper, we prove strong convergence theorem by the hybrid method for an \(\alpha\)-nonexpansive mapping in a Banach space. Our results complement and enrich the research contents of \(\alpha\)-nonexpansive mapping. Simultaneously, our main result generalizes Takahashi, Takeuchi, Kubota's result[W. Takahashi, Y. Takeuchi , R. Kubota, J. Math. Anal. Appl. 341 (2008) 276-286].