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A Proximal-Projection Method for Finding Zeros of Set-Valued Operators

A Proximal-Projection Method for Finding Zeros of Set-Valued Operators

In this paper we study the convergence of an iterative algorithm for finding zeros with constraints for not necessarily monotone set-valued operators in a reflexive Banach space. This algorithm, which we call the proximal-projection method is, essentially, a fixed point procedure, and our convergence results are based on new generalizations …