Proceedings of the American Mathematical Society

Iteration processes for approximating fixed points of operators of monotone type

Author(s): Gu Feng
Journal: Proc. Amer. Math. Soc. 129 (2001), 2293-2300.
MSC (2000): Primary 47H04, 47H05, 47H10
Posted: December 28, 2000
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In this paper, the unique fixed points of multi-valued and single-valued operators of monotone type are approximated by Ishikawa and Mann iteration processes with errors in real Banach spaces. The operators may not satisfy the Lipschitzian conditions. The results presented improve and extend some recent results.

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Gu Feng
Affiliation: Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, People's Republic of China
Email: gufeng99@sohu.com

DOI: 10.1090/S0002-9939-00-05803-2
PII: S 0002-9939(00)05803-2
Keywords: Operators of monotone type, strongly pseudo-contractive mapping, Ishikawa iteration process, Mann iteration process, normalised duality mapping.
Received by editor(s): May 25, 1999
Received by editor(s) in revised form: November 25, 1999
Posted: December 28, 2000
Communicated by: Jonathan M. Borwein
Copyright of article: Copyright 2000, American Mathematical Society

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