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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Properties of a quasi-uniformly monotone operator and its application to the electromagnetic $p$-$\text {curl}$ systems [PDF]
, 2022 summary:In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$.
Song, Chang-Ho +2 more
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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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Monotone operator functions on C*-algebras
, 2005 The article is devoted to investigation of classes of functions monotone as functions on general C-*-algebras that are not necessarily the C-*-algebra of all bounded linear operators on a Hilbert space as in classical case of matrix and operator monotone
Osaka, H +3 more
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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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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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Monotone operator equilibrium networks
CoRR, 2020 NeurIPS ...
Ezra Winston, J. Zico Kolter
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Some Operations on Mixed Monotone Operator in Banach Spaces [PDF]
, 2018 This paper discusses some operations on mixed monotone operator in Banach space, especially addition an multiplication operations. We will prove the sum and product of two mixed monotone operators. The proof using some relevant definitions. The result is
Badrulfalah, Badrulfalah +5 more
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