Abstract
The purpose of this paper is by using the generalized projection approach to introduce an iterative scheme for finding a solution to a system of generalized nonlinear variational inequality problem. Under suitable conditions, some existence and strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces. The results presented in the paper improve and extend some recent results.
Original language | English |
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Pages (from-to) | 6830-6837 |
Number of pages | 8 |
Journal | Applied Mathematics and Computation |
Volume | 217 |
Issue number | 16 |
DOIs | |
Publication status | Published - 15 Apr 2011 |
Keywords
- A system of generalized nonlinear variational inequality
- Generalized projection mapping
- Lyapunov functional
- Normalized duality mapping
- Uniformly smooth Banach space
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics