Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 51, Issue 1-2, Pages 63-71Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2009.08.041
Keywords
System of generalized nonlinear variational-like inclusions; Perturbed Mann iterative method with errors; Convergence; Stability
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Funding
- Science Research Foundation of Education Department of Liaoning Province [2009A419]
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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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