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Fan, Jianghua

A Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces. (English) Zbl 1140.49011

J. Math. Anal. Appl. 337, No. 2, 1041-1047 (2008).
Summary: 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. Math. Anal. Appl. 295, No. 1, 115–126 (2004; Zbl 1045.49008)].

Cited in 3 Reviews
Cited in 14 Documents

MSC:

49J52 Nonsmooth analysis
47J20 Variational and other types of inequalities involving nonlinear operators (general)

Keywords:

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

Citations:

Zbl 1045.49008
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Full Text: DOI

References:

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