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Weak stability of the Ishikawa iteration procedures for ∅-hemicontractions and accretive operators

✍ Scribed by H.Y. Zhou; S.-S. Chang; Y.J. Cho

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
401 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis

Let X be an arbitrary Banach space, K be a nonempty closed convex subset of X, and T : K 4 K be a Lipschitzian and hemicontractive mapping with the property 1iminfthoo(4(t)/t) > 0. It is shown that the Ishikawa iteration procedures are weakly T-stable. As consequences, several related results deal with the weak stability of these procedures for the iteration proximation of solutions of nonlinear equations involving accretive operators. Our results improve and extend those corresponding results announced by Osilike.

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