Journal
ABSTRACT AND APPLIED ANALYSIS
Volume -, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2014/272867
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Funding
- [NSC 102-2115-M-110-002-MY2]
- [NSC 102-2111-E-037-004-MY3]
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The Opial property of Hilbert spaces and some other special Banach spaces is a powerful tool in establishing fixed point theorems for nonexpansive and, more generally, nonspreading mappings. Unfortunately, not every Banach space shares the Opial property. However, every Banach space has a similar Bregman-Opial property for Bregman distances. In this paper, using Bregman distances, we introduce the classes of Bregman nonspreading mappings and investigate the Mann and Ishikawa iterations for these mappings. We establish weak and strong convergence theorems for Bregman nonspreading mappings.
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