Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 60, Issue 11, Pages 2953-2970Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.09.055
Keywords
A-maximal m-relaxed eta-accretive; Extended generalized nonlinear mixed quasi-variational inclusions; Perturbed N-step iterative algorithm with mixed errors; Resolvent operator technique; Variational convergence; q-uniformly smooth Banach spaces
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Funding
- Korean Government [KRF-2008-313-C00050]
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This paper introduces a new system of extended generalized nonlinear mixed quasi-variational inclusions involving A-maximal m-relaxed eta-accretive (so called (A, eta)-accretive (Lan et al. (2006) [37])) mappings in q-uniformly smooth Banach spaces. By using the resolvent operator technique for A-maximal m-relaxed eta-accretive mappings due to Lan et al., we establish the existence and uniqueness of solution for this system of extended generalized nonlinear mixed quasi-variational inclusions and construct a new perturbed N-step iterative algorithm with mixed errors for solving the mentioned system. We also prove the convergence of the sequences generated by our algorithms in q-uniformly smooth Banach spaces. The results presented in this paper extend and improve some known results in the literature. (C) 2010 Elsevier Ltd. All rights reserved.
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