## Abstract Two iterative schemes are designed to approach zeros of __m__βaccretive operators in Banach spaces. The first one is a kind of contractive iteration process involving with the resolvent and the second one is an averaged iteration process of the identity and the resolvent. Strong converg
Global Iterative Schemes for Accretive Operators
β Scribed by C.E. Chidume; H. Zegeye
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 115 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
Let E be a real q-uniformly smooth Banach space and A : E Βͺ 2 E be an 5 5 m-accretive operator which satisfies a linear growth condition of the form Ax F Ε½ 5 5. c 1 q x for some constant c ) 0 and for all x g E. It is proved that if two real Γ 4 Γ 4 Γ 4 sequences and satisfy appropriate conditions, the sequence x generated 5 5 U y1 Ε½ . e g E is such that Γ e -Ο± αn G 0, converges strongly to some x g A 0 .
π SIMILAR VOLUMES
## Abstract Strong convergence of two iterative schemes is proved to approach some zero of multivalued accretive operators in a Banach space. The first one is a regularization method for Rockafellar's proximal point algorithm of the resolvent and the second one is a kind of Halpern type iteration p
Let X be a uniformly smooth and uniformly convex Banach space and T : D T Ε½ . Ε½ . ; X Βͺ X be an m-accretive operator with the domain D T and the range R T . For any given f g X, we prove that the Mann and Ishikawa type iterative sequences with errors converge strongly to the unique solution of the