Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
471349 | Computers & Mathematics with Applications | 2007 | 8 Pages |
Abstract
In this paper, we prove some properties of the generalized ff-projection operator in Banach spaces and show an interesting relation between the generalized ff-projection operator and the resolvent operator for the subdifferential of a proper, convex and lower semi-continuous functional in reflexive and smooth Banach spaces. Moreover, we prove that the generalized ff-projection operator is maximal monotone. As applications, we propose an iterative method of approximating solutions for a class of generalized variational inequalities and give a convergence result for the iterative method in uniformly convex and uniformly smooth Banach spaces.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ke-qing Wu, Nan-jing Huang,