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Iterative Solution of Nonlinear Equations Involving Strongly Accretive Operators without the Lipschitz Assumption

✍ Scribed by Haiyun Zhou

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
169 KB
Volume
213
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let E be a real Banach space with a uniformly convex dual space E*. Suppose Ε½ . T : E Βͺ E is a continuous not necessarily Lipschitzian strongly accretive map Ε½ . such that I y T has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges strongly to the unique solution of equation Tx s f, f g E. Our results extend and complement the recent results obtained by Chidume.

πŸ“œ SIMILAR VOLUMES

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