Geodesic
Convergence of iterative methods for solving random operator equations
Bocşan, Gheorghe1
1 Department of Mathematics, West University of Timişoara, Bd. V. Parvan 4, 300223, Timişoara, Romania
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 1, p. 2-6.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.006.01.02
Classification : 60B05, 47H10, 47H40
Keywords: Probabilistic quasi-nonexpansive mapping, iterative method, fixed point.

Bocşan, Gheorghe 1

1 Department of Mathematics, West University of Timişoara, Bd. V. Parvan 4, 300223, Timişoara, Romania 
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Bocşan, Gheorghe. Convergence of iterative methods for solving random operator equations. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 1, p. 2-6. doi : 10.22436/jnsa.006.01.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.01.02/

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

[2] Constantin, Gh.; Istrăţescu, I. Elements of probabilistic analysis with applications, Mathematics and its Applica- tions (East European Series), 36, Kluwer Academic Publishers, Dordrecht, 1989

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

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

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