Convergence of implicit random iteration process with errors for a finite family of asymptotically quasi-nonexpansive random operators

SALUJA, GURUCHARAN SINGH ¹

¹ Department of Mathematics and Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur (C.G.), India

Journal of nonlinear sciences and its applications, Tome 4 (2011) no. 4, p. 292-307.

Résumé

In this paper, we prove that an implicit random iteration process with errors which is generated by a finite family of asymptotically quasi- nonexpansive random operators converges strongly to a common random fixed point of the random operators in uniformly convex Banach spaces.

Détail

DOI : 10.22436/jnsa.004.04.07

Classification : 47H09, 47H10, 47J25
Keywords: Asymptotically quasi nonexpansive random operator, common random fixed point, implicit random iteration scheme with errors, strong convergence, uniformly convex Banach space.

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