A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-021-0413-9
Abstract: In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a… read more here.
Keywords: inclusion problems; hadamard manifolds; monotone inclusion; new algorithm ... See more keywords
On the complexity of a hybrid proximal extragradient projective method for solving monotone inclusion problems
Sign Up to like & getrecommendations! Published in 2020 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-020-00200-3
Abstract: In a series of papers (Solodov and Svaiter in J Convex Anal 6(1):59–70, 1999; Set-Valued Anal 7(4):323–345, 1999; Numer Funct Anal Optim 22(7–8):1013–1035, 2001) Solodov and Svaiter introduced new inexact variants of the proximal point… read more here.
Keywords: proximal extragradient; method; monotone inclusion; hybrid proximal ... See more keywords
On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces
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DOI: 10.1080/01630563.2024.2349006
Abstract: Abstract In this paper, we focus on the solution of a class of monotone inclusion problems in reflexive Banach spaces. To reflect the geometry of the space and the operator, a more general proximal point… read more here.
Keywords: monotone inclusion; iterative algorithm; banach spaces;
Stochastic monotone inclusion with closed loop distributions
Sign Up to like & getrecommendations! Published in 2024 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2025022
Abstract: In this paper, we study in a Hilbertian setting, first and second-order monotone inclusions related to stochastic optimization problems with decision dependent distributions. The studied dynamics are formulated as monotone inclusions governed by Lipschitz perturbations… read more here.
Keywords: inclusion closed; monotone; monotone inclusion; monotone inclusions ... See more keywords