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.
关键词
变分不等式/半压缩映射有限簇/强收敛定理
Key words
variational inequality/a finite family of semi-contractive mappings/strong convergence theorems