Convergence analysis of variational inequality and fixed point problems for pseudo-contractive mapping with Lipschitz assumption

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

References

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