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http://dx.doi.org/10.14317/jami.2012.30.5_6.935

ITERATIVE ALGORITHM FOR A NEW SYSTEM OF GENERALIZED SET-VALUED QUASI-VARIATIONAL-LIKE INCLUSIONS WITH (A, ${\eta}$)-ACCRETIVE MAPPINGS IN BANACH SPACES  

Jeong, Jae Ug (Department of Mathematics, Dondeui University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.5_6, 2012 , pp. 935-950 More about this Journal
Abstract
In this paper, we introduce and study a new system of generalized set-valued quasi-variational-like inclusions with (A, ${\eta}$)-accretive mapping in Banach spaces. By using the resolvent operator associated with (A, ${\eta}$)-accretive mappings, we construct a new iterative algorithm for approximating the solution of this system of variational inclusions. We also prove the existence of solutions and the convergence of the sequences generated by the algorithm in Banach spaces. The results presented in this paper extend and improve some known results in the literature.
Keywords
(A, ${\eta}$)-accretive mapping; System of variational-like inclusions; Iterative algorithm; Convergence; Resolvent operator;
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Times Cited By KSCI : 1  (Citation Analysis)
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