Convergence of iterative methods for solving random operator equations
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Authors
Gheorghe Bocşan
- Department of Mathematics, West University of Timişoara, Bd. V. Parvan 4, 300223, Timişoara, Romania.
Abstract
We discuss the concept of probabilistic quasi-nonexpansive mappings in connection with the mappings of
Nishiura. We also prove a result regarding the convergence of the sequence of successive approximations for
probabilistic quasi-nonexpansive mappings.
Share and Cite
ISRP Style
Gheorghe Bocşan, Convergence of iterative methods for solving random operator equations, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 1, 2--6
AMA Style
Bocşan Gheorghe, Convergence of iterative methods for solving random operator equations. J. Nonlinear Sci. Appl. (2013); 6(1):2--6
Chicago/Turabian Style
Bocşan, Gheorghe. "Convergence of iterative methods for solving random operator equations." Journal of Nonlinear Sciences and Applications, 6, no. 1 (2013): 2--6
Keywords
- Probabilistic quasi-nonexpansive mapping
- iterative method
- fixed point.
MSC
References
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[1]
Gh. Bocşan , On random operators on separable Banach spaces, Sem. on Probab. Theory Appl. , Univ. Timişoara 38 (1978)
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[2]
Gh. Constantin, I. Istrăţescu, Elements of probabilistic analysis with applications, Mathematics and its Applica- tions (East European Series), 36, Kluwer Academic Publishers, Dordrecht (1989)
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[3]
E. Nishiura, Constructive methods in probabilistic metric spaces, Fundamenta Mathematicae, 67 (1970), 115-124.
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[4]
B. Schweizer, A. Sklar, Probabilistic Metric Spaces, North Holland Series in Probability and Applied Mathematics, New York, Amsterdam, Oxford (1983)