East Asian mathematical journal
- Volume 24 Issue 1
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- Pages.27-33
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- 2008
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
WEAK CONVERGENCE OF MANN ITERATIVE SEQUENCE FOR NONEXPANSIVE MAPPINGS IN PROBABILISTIC HILBERT SPACES
- Su, Yongfu (DEPARTMENT OF MATHEMATICS, TIANJIN POLYTECHNIC UNIVERSITY) ;
- Wang, Xiuzhen (COLLEGE OF SCIENCES, HEBEI AGRICULTURAL UNIVERSITY) ;
- Gao, Junyu (DEPARTMENT OF MATHEMATICS, CANGZHOU NORMAL COLLEGE)
- Published : 2008.01.31
Abstract
The purpose of this paper is to establish the weak convergence theorem of Mann iterative sequence for nonexpansive mappings in probabilistic Hilbert spaces. In order to establish the weak convergence theorem, a new method was presented in this paper, that is method of mathematical expectation.
Keywords
- Probabilistic inner product spaces;
- mathematical expectation;
- weak convergence;
- nonexpansive mappings