Abstract
The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper extend and improve the corresponding results of some people.
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(Contributed by Shi-sheng ZHANG)
Project supported by the Natural Science Foundation of Yibin University (No. 2007Z3)
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Zhang, Ss. Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces. Appl. Math. Mech.-Engl. Ed. 30, 145–152 (2009). https://doi.org/10.1007/s10483-009-0202-y
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DOI: https://doi.org/10.1007/s10483-009-0202-y
Key words
- Lipschitzian pseudo-contraction semi-group
- demi-closed principle
- common fixed point
- Opial condition
- strongly pseudo-contraction mapping
- implicit iteration process