Strong Convergence Theorems for Asymptotically Strictly Pseudocontractive Maps in Hilbert Spaces
Received:December 06, 2006  Revised:July 13, 2007
Key Word: nonexpansive mappings   strictly pseudocontractive mappings   Hilbert spaces   projection.  
Fund ProjectL:Research Foundation of Henan University (No.06YBZR034).
Author NameAffiliation
QIN Xiao Long Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China 
WU Chang Qun School of Business and Administration, Henan University, Henan 475001, China 
SHANG Mei Juan Department of Mathematics, Shijiazhuang University, Hebei 050035, China 
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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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