A perturbed algorithm for a system of variational inclusions involving H (center dot, center dot)-accretive operators in Banach spaces

作者：Tang, Guo-ji^*; Wang, Xing

来源：Journal of Computational and Applied Mathematics, 2014, 272: 1-7.

DOI：10.1016/j.cam.2014.04.023

• Perturbed algorithm
• A system of variational inclusions
• H(center dot, center dot)-accretive operator
• Graph convergence
• Resolvent operator

In this paper, using the properties of graph convergence of H(center dot, center dot)-accretive operators, we construct a perturbed algorithm for solving systems of ill-posed variational inclusions involving H(center dot, center dot)-accretive operators. Under some suitable conditions, we prove that the sequence generated by the proposed method is strongly convergent to the unique solution of the problem. The main results presented in this paper generalize and improve some recent results in the literature.

• 出版日期2014-12-15
• 单位广西民族大学; 江西财经大学