Abstract
In this paper we introduce an iterative process for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping. The iterative process is based on so-called extragradient method. We obtain a strong convergence theorem for two sequences generated by this process.
Citation
Lu-Chuan Zeng. Jen-Chih Yao. "STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS." Taiwanese J. Math. 10 (5) 1293 - 1303, 2006. https://doi.org/10.11650/twjm/1500557303
Information
