Results 21 to 30 of about 528,162 (194)
Symbolic computation with monotone operators [PDF]
ACM Communications in Computer Algebra, 2017 The Fenchel conjugate , f * , and the subdifferential , ∂ f , of a function f are two objects of fundamental importance in convex analysis.
Lauster, Florian +2 more
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Weighted modular inequalities for monotone functions
Journal of Inequalities and Applications, 1997 Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
Heinig HP, Kufner A, Drábek P
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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 ...
Verona, Andrei, Verona, Maria Elena
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On maximal monotone operators with relatively compact range [PDF]
, 2010 summary:It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator $T$ can be approximated by a sequence ...
Zagrodny, Dariusz
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Θ-monotone operators and bifunctions
, 2022 The purpose of this paper is to introduce and investigate θ-monotone operators and θ-monotone bifunctions in the context of Banach space. Local boundedness of θ-monotone bifunctions in the interior of their domains is proved.
Ramazannejad, Maede
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Monotone operator equilibrium networks
CoRR, 2020 NeurIPS ...
Ezra Winston, J. Zico Kolter
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Bregman Distance and Strong Convergence of Proximal-Type Algorithms
Abstract and Applied Analysis, 2013 The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥).
Li-Wei Kuo, D. R. Sahu
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Random Fixed Point Theorems of Random Comparable Operators and an Application
Discrete Dynamics in Nature and Society, 2015 We introduce the new concept of random comparable operators as a generalization of random monotone operators and prove several random fixed point theorems for such a class of operators in partially ordered Banach spaces.
Jiandong Yin, Zhongdong Liu
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Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
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Iterative Methods for the Sum of Two Monotone Operators
Journal of Applied Mathematics, 2012 We introduce an iterative for finding the zeros point of the sum of two monotone operators. We prove that the suggested method converges strongly to the zeros point of the sum of two monotone operators.
Yeong-Cheng Liou
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