Results 11 to 20 of about 59,918 (272)
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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Bipotentials for non monotone multivalued operators: fundamental results and applications [PDF]
, 2008 This is a survey of recent results about bipotentials representing multivalued operators. The notion of bipotential is based on an extension of Fenchel's inequality, with several interesting applications related to non associated constitutive laws in non
Buliga, Marius +2 more
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Rectangularity and paramonotonicity of maximally monotone operators [PDF]
, 2012 Maximally monotone operators play a key role in modern optimization and variational analysis. Two useful subclasses are rectangular (also known as star monotone) and paramonotone operators, which were introduced by Brezis and Haraux, and by Censor, Iusem
Bauschke, Heinz H. +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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Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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Cyclically monotone linear operators [PDF]
Proceedings of the American Mathematical Society, 1976 A linear operator on a complex Hilbert space H \mathcal {H} is called n n -cyclically monotone if for each sequence x 0 , x 1 , … , x
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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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, 2020 Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan +2 more
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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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