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math.FA2024
Compositions of Resolvents: Fixed Points Sets and Set of Cycles
Salihah Thabet Alwadani
In this paper, we investigate the cycles and fixed point sets of compositions of resolvents using Attouch Théra duality. We demonstrate that the cycles defined by the resolvent ope…
math.FA2024
Additional Studies on Displacement Mapping with Restrictions
Salihah Thabet Alwadani
The theory of monotone operators plays a major role in modern optimization and many areas of nonlinera analysis. The central classes of monotone operators are matrices with a posit…
math.FA2024
More on Arago'n Artacho -- Campoy's Algorithm Operators
Salihah Thabet Alwadani
The Arago'n Artacho--Campoy algorithm (AACA) is a new method for finding zeros of sums of monotone operators. In this paper we complete the analysis of their algorithm by defining…