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Volume 3, Issue 2, 1 August 2019, Pages 225-233
Abstract. The paper is concerned with the problem of finding a common solution of a variational inequality problem governed by Lipschitz continuous monotone mappings and a fixed point problem of nonexpansive mappings. To solve this problem, we introduce a new iterative algorithm which is based on Tseng’s extragradient method. Moreover we prove the strong convergence of the algorithm to a solution of the above-stated problem without the hypothesis of the asymptotical regularization.
How to Cite this Article:
Fenghui Wang, Hongtruong Pham, On a new algorithm for solving variational inequality and fixed point problems, J. Nonlinear Var. Anal. 3 (2019), 225-233.