Results 21 to 30 of about 492,185 (297)
Monotone operator equilibrium networks
CoRR, 2020 NeurIPS ...
Ezra Winston, J. Zico Kolter
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Simplification method for nonlinear equations of monotone type in Banach space
Журнал Средневолжского математического общества, 2021 In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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Regularization and Iterative Methods for Monotone Variational Inequalities
Fixed Point Theory and Applications, 2010 We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xiubin Xu, Hong-Kun Xu
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Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Abstract and Applied Analysis, 2013 We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and ...
Heng-you Lan
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On operator-valued monotone independence [PDF]
, 2014 We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to clarify the whole theory and show the moment-cumulant formula.
Hasebe, Takahiro, Saigo, Hayato
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Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
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A Forward-Backward Projection Algorithm for Approximating of the Zero of the Sum of Two Operators
پژوهشهای ریاضی, 2020 Introduction One of the most important classes of mappings is the class of monotone mappings due to its various applications. For solving many important problems, it is required to solve monotone inclusion problems, for instance, evolution
Vahid Dadashi
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Computational Analysis of Two-parameter Integro-differential Problems in LCR-circuits [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis paper solves the two-parameter singularly perturbed Fredholm integro-differential equations through the developed exponentially fitted operator method and monotone finite difference method.
P. Antony Prince +2 more
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Approximating Iterations for Nonexpansive and Maximal Monotone Operators
Abstract and Applied Analysis, 2015 We present two algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive operator in Hilbert spaces. We show that these two algorithms converge strongly to the minimum norm common element of the zero of the ...
Zhangsong Yao +3 more
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The Range of a Monotone Operator
Journal of Mathematical Analysis and Applications, 1996 The author's aim is to generalize a standard result on the convexity of the range of a maximal monotone operator from reflexive to nonreflexive space. To this end he generalizes the notion of a maximal monotone operator and proceeds with purely functional analytic arguments.
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