Local Monotone Operator Learning Using Non-Monotone Operators: MnM-MOL [PDF]
IEEE Transactions on Computational Imaging, 2023 The recovery of magnetic resonance (MR) images from undersampled measurements is a key problem that has been the subject of extensive research in recent years.
Maneesh John +2 more
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Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we present two iterative algorithms for approximating a solution of the split feasibility problem on zeros of a sum of monotone operators and fixed points of a finite family of nonexpansive mappings.
Narin Petrot +2 more
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Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.
Tadchai Yuying, Somyot Plubtieng
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On θ-generalized demimetric mappings and monotone operators in Hadamard spaces
Demonstratio Mathematica, 2020 Our main interest in this article is to introduce and study the class of θ-generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is ...
Ogwo Grace N. +3 more
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New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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Learning Maximally Monotone Operators for Image Recovery [PDF]
SIAM Journal of Imaging Sciences, 2020 We introduce a new paradigm for solving regularized variational problems. These are typically formulated to address ill-posed inverse problems encountered in signal and image processing.
J. Pesquet +3 more
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Locally efficient monotone operators [PDF]
Proceedings of the American Mathematical Society, 1990 We study monotone operators on quasi open or convex subsets of a real Banach space X X (quasi open means that the contingent cone at each point equals X X ). Among others we characterize the maximality of such an operator in terms of its w ∗ {w^*} -upper ...
Verona, Andrei, Verona, Maria Elena
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Convergence Results of Forward-Backward Algorithms for Sum of Monotone Operators in Banach Spaces [PDF]
Results in Mathematics, 2019 It is well known that many problems in image recovery, signal processing, and machine learning can be modeled as finding zeros of the sum of maximal monotone and Lipschitz continuous monotone operators. Many papers have studied forward-backward splitting
Y. Shehu
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Fixed Point Theory and Applications, 2010 We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
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Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators [PDF]
Complex Analysis and Operator Theory, 2021 AbstractWe study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respectively. We preliminary treat the case of weakly monotone Fock space, and show that any single operator has the vacuum law belonging to the free Meixner class.
Vitonofrio Crismale +2 more
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