Hybrid algorithm for an \(\alpha\)-nonexpansive mapping in a Banach space


Authors

Zi-Ming Wang - Department of Foundation, Shandong Yingcai University, Jinan 250104, P. R. China. Yongfu Su - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, P. R. China. Jinlong Kang - Department of Foundation, Xi'an Communication of Institute, Xi'an 710106, P. R. China.


Abstract

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].


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ISRP Style

Zi-Ming Wang, Yongfu Su, Jinlong Kang, Hybrid algorithm for an \(\alpha\)-nonexpansive mapping in a Banach space, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 1, 56--63

AMA Style

Wang Zi-Ming, Su Yongfu, Kang Jinlong, Hybrid algorithm for an \(\alpha\)-nonexpansive mapping in a Banach space. J. Nonlinear Sci. Appl. (2012); 5(1):56--63

Chicago/Turabian Style

Wang, Zi-Ming, Su, Yongfu, Kang, Jinlong. "Hybrid algorithm for an \(\alpha\)-nonexpansive mapping in a Banach space." Journal of Nonlinear Sciences and Applications, 5, no. 1 (2012): 56--63


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