An Algorithm For Constrained Convex Minimization Problem And Zeros Of Maximal Monotone Operator Problem

In this paper, we introduce a new algorithm for finding a common element of the set of constrained convex minimization problem in the real Hilbert spaces and the set of zero points of maximal monotone operator problem. We establish a convergence theorem for the proposed algorithm. The results presented in this paper extend and improve some well-known results in the literature. Index Terms—Fixed Point, Maximal Monotone Operator, Nonexpansive Mapping, Variational Inequality