Strong Convergence Theorem by the Hybrid and Extragradient Methods for Monotone Mappings and Countable Families of Nonexpansive Mappings
نویسندگان
چکیده
In this paper we introduce an iterative process for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for a monotone, Lipschitz continuous mapping. The iterative process is based on two known methods hybrid and extragradient. We obtain a strong convergence theorem for three sequences generated by this process. Based on this theorem, we construct an iterative process for solving the generalized lexicographic variational inequality problem.
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