Weak Convergence Theorem for Nonexpansive and Monotone, Lipschitz Continuous Mappings
Renu Chugh, Rekha Rani, Sanjay Kumar · Revista de Fomento Social · 2014
In this paper, we shall prove a weak convergence theorem 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. With the help of a numerical example, we shall show the existence of a fixed point and find a solution of a variational inequality problem using C++. Further, we consider the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of a monotone, Lipschitz continuous mapping.