A new class of variational inclusions with B-monotone operators in Banach spaces

作者：Luo Xue ping; Huang Nan jing^*

来源：Journal of Computational and Applied Mathematics, 2010, 233(8): 1888-1896.

DOI：10.1016/j.cam.2009.09.025

• B-monotone operator
• Proximal mapping
• Iterative algorithm
• Variational inclusion
• Convergence

In this paper, we introduce and study a new class of variational inclusions in Banach spaces. For solving such class of variational inclusions, we introduce a new notion of B-monotone operator and prove the Lipschitz continuity of the proximal mapping associated with the B-monotone operator. By using the proximal mapping, an iterative algorithm for solving such class of variational inclusions is constructed in Banach spaces. Under some suitable conditions, we prove the convergence of iterative sequence generated by the algorithm.

• 出版日期2010-2-15
• 单位四川大学