Abstract

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)0 under the suitable conditions. AMS Subject Classification: 47H05, 47H09, 46C05

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