Iterative Algorithm for a New System of Variational Inclusions with B-monotone Operators in Banach Spaces
Sang Keun Lee, Jae Ug Jeong · Kyungpook mathematical journal · 2013
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.