Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces |
Received:December 06, 2006 Revised:July 13, 2007 |
Key Words:
nonexpansive mappings strictly pseudocontractive mappings Hilbert spaces projection.
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Fund Project:Research Foundation of Henan University (No.06YBZR034). |
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Abstract: |
The Mann iterations have no strong convergence even for nonexpansive mappings in Hilbert spaces. The aim of this paper is to propose a modification of the Mann iterations for strictly asymptotically pseudocontractive maps in Hilbert spaces to have strong convergence. Our results extend those of Kim, Xu$^{[4]}$, Nakajo, Takahashi$^{[3]}$ and many others. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2009.01.006 |
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