TY - JOUR AU - Qiu, Yang-Qing AU - Chen, Jin-Zuo AU - Ceng, Lu-Chuan PY - 2016 TI - Strong convergence for a common solution of variational inequalities, fixed point problems and zeros of finite maximal monotone mappings JO - Journal of Nonlinear Sciences and Applications SP - 5175--5188 VL - 9 IS - 8 AB - In this paper, by the strongly positive linear bounded operator technique, a new generalized Mann-type hybrid composite extragradient CQ iterative algorithm is first constructed. Then by using the algorithm, we find a common element of the set of solutions of the variational inequality problem for a monotone, Lipschitz continuous mapping, the set of zeros of two families of finite maximal monotone mappings and the set of fixed points of an asymptotically \(\kappa\)-strict pseudocontractive mappings in the intermediate sense in a real Hilbert space. Finally, we prove the strong convergence of the iterative sequences, which extends and improves the corresponding previous works. 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