Fixed Point and Weak Convergence Theorems for (α , β) -Hybrid Mappings in Banach Spaces

Tian-Yuan Kuo; Jyh-Chung Jeng; Young-Ye Huang; Chung-Chien Hong

doi:10.1155/2012/789043

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Issue SI12 > Article

2012 Fixed Point and Weak Convergence Theorems for

\mathrm{(\alpha },\mathrm{\beta )}

-Hybrid Mappings in Banach Spaces

Tian-Yuan Kuo, Jyh-Chung Jeng, Young-Ye Huang, Chung-Chien Hong

Abstr. Appl. Anal. 2012(SI12): 1-12 (2012). DOI: 10.1155/2012/789043

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Abstract

We introduce the class of $\mathrm{(\alpha },\mathrm{\beta )}$ -hybrid mappings relativeto a Bregman distance ${D}_{f}$ in a Banach space, and then we study the fixedpoint and weak convergence problem for such mappings.

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Tian-Yuan Kuo. Jyh-Chung Jeng. Young-Ye Huang. Chung-Chien Hong. "Fixed Point and Weak Convergence Theorems for $\mathrm{(\alpha },\mathrm{\beta )}$ -Hybrid Mappings in Banach Spaces." Abstr. Appl. Anal. 2012 (SI12) 1 - 12, 2012. https://doi.org/10.1155/2012/789043