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Received April 20, 2020; Accepted August 9, 2020; Published August 28, 2020
Abstract. For solving monotone variational inequalities and fixed point problems of a quasi-nonexpansive mapping in real Hilbert spaces, we introduce two new algorithms which combine the inertial Tseng’s extragradient method and the hybrid-projection method, respectively. Weak and strong convergence theorems are established under some appropriate conditions. Finally, we provide some numerical experiments to show the effectiveness and advantages of the proposed algorithms.
How to Cite this Article:
Ming Tian, Gang Xu, Inertial modified Tseng’s extragradient algorithms for solving monotone variational inequalities and fixed point problems, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 35, pp. 1-19.