- Results in Nonlinear Analysis
- Vol: 2 Issue: 3
- Convergence analysis of variational inequality and fixed point problems for pseudo-contractive mappi...
Convergence analysis of variational inequality and fixed point problems for pseudo-contractive mapping with Lipschitz assumption
Authors : Caifen Zhang, Jinzuo Chen
Pages : 102-112
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Publication Date : 2019-10-01
Article Type : Research
Abstract :In this paper, we consider and study variational inequality and fixed point problems for pseudo-contractive mapping. It is proven that the sequences generated by the proposed iterative algorithm converge strongly to the common solution of the variational inequality and fixed point problems. A numerical example illustrates the theoretical result.Keywords : variational inequality problem, fixed point problem, extra-gradient method, pseudo-contractive mapping, strong convergence