Title of article :
Hybrid algorithm for an α-nonexpansive mapping in a Banach space
Author/Authors :
Wang ، Zi-Ming - Shandong Yingcai University , Su ، Yongfu - Tianjin Polytechnic University, , Kang ، Jinlong - Xi an Communication of Institute
Abstract :
In this paper, we prove strong convergence theorem by the hybrid method for an α-nonexpansive mapping in a Banach space. Our results complement and enrich the research contents of α-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].
Keywords :
α , nonexpansive mapping , α , mean , asymptotically , nonexpansive mapping , Hybrid algorithm , Fixed point , Banach space
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
