Iterative Schemes for Finite Families of Maximal Monotone Operators Based on Resolvents

Abstract EN

The purpose of this paper is to present two iterative schemes basedon the relative resolvent and the generalized resolvent, respectively.

And, it isshown that the iterative schemes converge weakly to common solutions for twofinite families of maximal monotone operators in a real smooth and uniformly convexBanach space and one example is demonstrated to explain that some assumptionsin the main results are meaningful, which extend the corresponding works by someauthors.