Convergence Theorems for Maximal Monotone Operators by Family of Non-Spreading Mappings

Salwa Salman Abed, Zena Hussein Maibed

Abstract: In this paper we introduce an iterative schemes of non-spreding and non-expansive mappings in real Hilbert space. Also, we study the strong convergence of these iterative schemes to a point of the set of zeros of maximal monotone multivalued mapping. Finally, there are some consequent of these results in convex analysis.

Keywords: Convergence Theorem, Maximal Monotone Operator, Non-Spreading Mapping