4 citations · 10 across the 6 of their papers we have counts for
9 papers
On Parallel Sums of Set-Valued Operators: Monotonicity, Paramonotonicity, and Decomposition Invariance
Salihah Thabet Alwadani
In this paper, we investigate structural properties of the parallel sum of set-valued operators in a real Hilbert space, with particular emphasis on monotonicity, maximal monotonic…
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…
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…
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…
Attouch-Théra Duality, Generalized Cycles and Gap Vectors
Salihah Alwadani, Heinz H. Bauschke, Xianfu Wang
Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cy…
The difference vectors for convex sets and a resolution of the geometry conjecture
Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski +1
The geometry conjecture, which was posed nearly a quarter of a century ago, states that the fixed point set of the composition of projectors onto nonempty closed convex sets in Hil…
Resolvents and Yosida approximations of displacement mappings of isometries
Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski +1
Maximally monotone operators are fundamental objects in modern optimization. The main classes of monotone operators are subdifferential operators and matrices with a positive semid…
Fixed points of compositions of nonexpansive mappings: finitely many linear reflectors
Salihah Alwadani, Heinz H. Bauschke, Xianfu Wang
Nonexpansive mappings play a central role in modern optimization and monotone operator theory because their fixed points can describe solutions to optimization or critical point pr…
On the asymptotic behaviour of the Aragon Artacho-Campoy algorithm
Salihah Alwadani, Heinz H. Bauschke, Walaa M. Moursi +1
Aragón Artacho and Campoy recently proposed a new method for computing the projection onto the intersection of two closed convex sets in Hilbert space; moreover, they proposed in 2…