Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Alwadani, Salihah"'
Publikováno v:
Open Journal of Mathematical Optimization, Vol 2, Iss , Pp 1-18 (2021)
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 Hilbert space is actually equal to the intersection of certain translatio
Externí odkaz:
https://doaj.org/article/460c6d8a1e804d118cd646709e992c39
Autor:
Alwadani, Salihah Thabet
In this paper, we investigate the cycles and fixed point sets of compositions of resolvents using Attouch Th\'era duality. We demonstrate that the cycles defined by the resolvent operators can be formulated in Hilbert space as the solution to a fixed
Externí odkaz:
http://arxiv.org/abs/2406.01041
Autor:
Alwadani, Salihah Thabet
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 positive semidefinite symmetric part and subsifferential operators. In this
Externí odkaz:
http://arxiv.org/abs/2405.13510
Autor:
Alwadani, Salihah Thabet
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 their operator using Douglas Rachford operator and then study the effe
Externí odkaz:
http://arxiv.org/abs/2401.00927
Using the Attouch-Th\'era duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors. A primal-dual framework provides an exact rela
Externí odkaz:
http://arxiv.org/abs/2101.05857
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 Hilbert space is actually equal to the intersection of certain translatio
Externí odkaz:
http://arxiv.org/abs/2012.04784
Maximally monotone operators are fundamental objects in modern optimization. The main classes of monotone operators are subdifferential operators and matrices with a positive semidefinite symmetric part. In this paper, we study a nice class of monoto
Externí odkaz:
http://arxiv.org/abs/2006.04860
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 problems. It is known that when the mappings are sufficiently "nice", th
Externí odkaz:
http://arxiv.org/abs/2004.12582
Arag\'on 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 2018 a generalization from normal cone operators to maximally monoton
Externí odkaz:
http://arxiv.org/abs/1805.11165
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