Convergence of iterative methods for solving random operator equations

Volume 6, Issue 1, pp 2--6 http://dx.doi.org/10.22436/jnsa.006.01.02

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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.

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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

60B05
47H10
47H40

References

[1] Gh. Bocşan , On random operators on separable Banach spaces, Sem. on Probab. Theory Appl. , Univ. Timişoara 38 (1978)

[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)

[3] E. Nishiura, Constructive methods in probabilistic metric spaces, Fundamenta Mathematicae, 67 (1970), 115-124.

[4] B. Schweizer, A. Sklar, Probabilistic Metric Spaces, North Holland Series in Probability and Applied Mathematics, New York, Amsterdam, Oxford (1983)