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http://dx.doi.org/10.5666/KMJ.2013.53.3.307

Iterative Algorithm for a New System of Variational Inclusions with B-monotone Operators in Banach Spaces  

Lee, Sang Keun (Department of Mathematics Education, Gyeongsang National University)
Jeong, Jae Ug (Department of Mathematics, Dongeui University)
Publication Information
Kyungpook Mathematical Journal / v.53, no.3, 2013 , pp. 307-318 More about this Journal
Abstract
In this paper, we introduce and study a new system of variational inclusions with B-monotone operators in Banach spaces. By using the proximal mapping associated with B-monotone operator, 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 for this system of variational inclusions. The results presented in this paper extend and improve some known results in the literature.
Keywords
B-monotone operator; Proximal mapping; Iterative algorithm; Variational inclusion; Convergence;
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