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 Paper

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