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Stability of iterative processes with errors for a system of nonlinear -accretive variational inclusions in Banach spaces

✍ Scribed by Heng-you Lan

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 317 KB
Volume: 56
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.12.007

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✦ Synopsis

In this paper, by using the concept of (A, η)-accretive mappings and the new resolvent operator technique associated with (A, η)-accretive mappings, we introduce and study a system of general mixed quasivariational inclusions involving (A, η)-accretive mappings in Banach spaces, and construct a new perturbed iterative algorithm with mixed errors for this system of nonlinear (A, η)accretive variational inclusions in q-uniformly smooth Banach spaces. Our results improve and generalize the corresponding results of recent works.

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