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Perturbed Mann iterative method with errors for a new system of generalized nonlinear variational-like inclusionsopen access
- Authors
- Liu, Zeqing; Liu, Min; Kang, Shin Min; Lee, Sunhong
- Issue Date
- Jan-2010
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- System of generalized nonlinear variational-like inclusions; Perturbed Mann iterative method with errors; Convergence; Stability
- Citation
- MATHEMATICAL AND COMPUTER MODELLING, v.51, no.1-2, pp 63 - 71
- Pages
- 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICAL AND COMPUTER MODELLING
- Volume
- 51
- Number
- 1-2
- Start Page
- 63
- End Page
- 71
- ISSN
- 0895-7177
1872-9479
- Abstract
- In this paper, a new system of generalized nonlinear variational-like inclusions is introduced and investigated in Hilbert spaces. By means of the resolvent operator technique, the existence and uniqueness of solution for the system of generalized nonlinear variational-like inclusions is demonstrated. Moreover, a perturbed Mann iterative method with errors for approximating the solution of the system of generalized nonlinear variational-like inclusions is constructed and the convergence and stability of the iterative sequence generated by the algorithm is discussed. The results presented in this paper generalize and unify many known results in the literature. (C) 2009 Elsevier Ltd. All rights reserved.
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