ON THE CONVERGENCE FOR THE SUM OF MONOTONE OPERATORS IN HILBERT SPACES
Chahn Yong Jung, Seung Mi Kang · International Journal of Pure and Apllied Mathematics · 2016
Let C be a nonempty closed convex subset of a Hilbert space H, A : C → C be a nonexpansive mapping, B : C → H be a τ -inverse strongly monotone mapping and M be a maximal monotone operator on H such that the domain of M is included in C. In this paper, we prove the iterative sequence with errors converges weakly to a common element of F (A) and (B + M ) -1 0 under the suitable conditions.