| Implicit Iteration Process with Errors for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Maps |
| Received:April 01, 2005 Revised:July 19, 2005 |
| Key Words:
strictly pseudocontractive mappings implicit iteration process with error common fixed points convergence theorems.
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| Fund Project:the National Natural Science Foundation of China (10471033); Tianjin Construction of Course (100580204). |
| Author Name | Affiliation | | SU Yong-fu | Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China | | LI Su-hong | Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China | | SONG Yi-sheng | Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China | | ZHOU Hai-yun | Department of Mathematics, Shijiazhuang Mechanical Engineering College, Hebei 050003, China |
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| Abstract: |
| Let $E$ be a real Banach space and $K$ be a nonempty closed convex subset of $E$. Let $\{T_i\}_{i=1}^N$ be $N$ strictly pseudocontractive self-maps of $K$ such that $F=\bigcap_{i=1}^N F(T_i)\neq\emptyset$, where $F(T_i)=\{x \in K:T_ix=x\}$, $\{\alpha_n\}\subset [0,1]$ be a real sequence, and $\{u_n\}\subset K$ be a sequence satisfying the conditions: (i)~$0 |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.01.014 |
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