Strong Convergence Theorem of Variational Inequality Problems and a Finite Family of Semi-contractive Mappings
In Hilbert spaces,firstly,a new parallel iterative method is proposed to approximate the common elements of the set of solutions of pseudo-monotone variational inequality and a common fixed point set of a finite family of semi-contractive mappings.Secondly,under appropriate assumptions,the strong convergence of the iterative sequence generated by this algorithm is proved.Finally,some concrete numerical experiments are also included to explain the effectiveness of the proposed methods.
variational inequalitya finite family of semi-contractive mappingsstrong convergence theorems
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