ON THE CONVERGENCE FOR THE SUM OF MONOTONE OPERATORS IN HILBERT SPACES

C.Y. Jung, S.M. Kang
2016 International Journal of Pure and Applied Mathematics  
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.
doi:10.12732/ijpam.v106i1.18 fatcat:2yx42baqbveplcioqqceu5ltty