Iteration processes for approximating fixed points of operators of monotone type
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Abstract:
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.References
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Additional Information
- Gu Feng
- Affiliation: Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, People’s Republic of China
- Email: gufeng99@sohu.com
- Received by editor(s): May 25, 1999
- Received by editor(s) in revised form: November 25, 1999
- Published electronically: December 28, 2000
- Communicated by: Jonathan M. Borwein
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2293-2300
- MSC (2000): Primary 47H04, 47H05, 47H10
- DOI: https://doi.org/10.1090/S0002-9939-00-05803-2
- MathSciNet review: 1823912