Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

作者：Wang, Yaqin^*; Chen, Rudong

来源：Fixed Point Theory and Applications, 2011, 2011(1): 1-9.

DOI：10.1186/1687-1812-2011-63

• hybrid method
• accretive operator
• variational inequality
• pseudocontraction

We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another pseudocontraction. In this paper, we consider an implicit scheme that can be used to find a solution of a class of accretive variational inequalities.
Our results improve and generalize some recent results of Yao et al. (Fixed Point Theory Appl, doi:10.1155/2011/180534, 2011) and Lu et al. (Nonlinear Anal, 71(3-4), 1032-1041, 2009).

• 出版日期2011
• 单位绍兴文理学院; 天津工业大学