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Iterative solution of nonlinear equations involving set-valued uniformly accretive operators

โœ Scribed by C. Moore; B.V.C. Nnoli

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
468 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

and uniformly quasi-accretive multivalued map with nonempty closed values such that the range of (I -A) is bounded and the inclusion f E Ax has a solution x* E E. It is proved that Ishikawa and Mann type iteration processes converge strongly to x*. Further, if T : E ~-* 2 E is a uniformly continuous and uniformly hemicontractive set-valued map with bounded range and a fixed point x* E E, it is proved that both the Mann and Ishikawa type iteration processes converge strongly to x*. The strong convergence of these iteration processes with errors is also proved. (~) 2001 Elsevier Science Ltd. All rights reserved.

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