A Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces

作者：Fan Jianghua^*

来源：Journal of Mathematical Analysis and Applications, 2008, 337(2): 1041-1047.

DOI：10.1016/j.jmaa.2007.04.025

• variational inequality
• Mann type iterative process
• generalized projection operator
• compact operator
• weak to norm continuous

In this paper, we study the existence of solutions and approximation of the solutions by using a Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces. The results presented in this paper generalize the corresponding results of J. Li [J. Li, On the existence of solutions of variational inequalities in Banach spaces, J. Math. Anal. Appl. 295 (2004) 115-126].

• 出版日期2008-1-15
• 单位广西师范大学