## Abstract and Applied Analysis

### Fixed Point and Weak Convergence Theorems for $\mathrm{(\alpha },\mathrm{\beta )}$-Hybrid Mappings in Banach Spaces

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 789043, 12 pages.

Dates
First available in Project Euclid: 1 April 2013

https://projecteuclid.org/euclid.aaa/1364845184

Digital Object Identifier
doi:10.1155/2012/789043

Mathematical Reviews number (MathSciNet)
MR2872313

Zentralblatt MATH identifier
1034.49036

#### Citation

Kuo, Tian-Yuan; Jeng, Jyh-Chung; Huang, Young-Ye; Hong, Chung-Chien. Fixed Point and Weak Convergence Theorems for $\mathrm{(\alpha },\mathrm{\beta )}$ -Hybrid Mappings in Banach Spaces. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 789043, 12 pages. doi:10.1155/2012/789043. https://projecteuclid.org/euclid.aaa/1364845184

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