Iterative solutions of nonlinear equations of the strongly accretive type. (English) Zbl 0911.47063

Chidume, C. E.

Math. Nachr. 189, 49-60 (1998).

Convergence of Mann iteration process and Ishikawa iteration method are proved under various continuity assumptions on strongly pseudo-contractive mappings in uniformly smooth Banach spaces.

Reviewer: S.Tersian (Russe)

MSC:

47J25	Iterative procedures involving nonlinear operators
47H09	Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47J05	Equations involving nonlinear operators (general)
47H06	Nonlinear accretive operators, dissipative operators, etc.
46B20	Geometry and structure of normed linear spaces

Keywords:

Mann iteration process; Ishikawa iteration method; strongly pseudo-contractive mappings; uniformly smooth Banach spaces

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