Results 31 to 40 of about 5,375,555 (321)
On strongly monotone flows [PDF]
Annales Polonici Mathematici, 1997 Summary: \textit{M. Hirsch}'s [SIAM J. Math. Anal. 26, 423-439 (1985; Zbl 0658.34023)] famous theorem on strongly monotone flows generated by autonomous systems \(u'(t)= f(u(t))\) is generalized to the case where \(f\) depends also on \(t\), satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in \(u\).
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Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles [PDF]
, 2007 The theory of monotone dynamical systems has been found very useful in the modeling of some gene, protein, and signaling networks. In monotone systems, every net feedback loop is positive. On the other hand, negative feedback loops are important features
A.D. Grossman +44 more
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Inexact Model: A Framework for Optimization and Variational Inequalities [PDF]
, 2020 In this paper we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities.
Agafonov, Artem +8 more
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Solving strongly monotone variational and quasi-variational inequalities [PDF]
Discrete & Continuous Dynamical Systems - A, 2006 In this paper we develop a new and efficient method for variational inequality with Lipschitz continuous strongly monotone operator. Our analysis is based on a new strongly convex merit function. We apply a variant of the developed scheme for solving quasivariational inequality.
Y.U. NESTEROV +1 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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Journal of Mathematics, 2019 In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space.
F. U. Ogbuisi +2 more
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A Continuous Extension that preserves Concavity, Monotonicity and Lipschitz Continuity [PDF]
, 2003 The following is proven here: let W : X × C −→ R, where X is convex, be a continuous and bounded function such that for each y ∈ C, the function W (·, y) : X −→ R is concave (resp. strongly concave; resp. Lipschitzian with constant M; resp.
Carvajal, Andres
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An Algorithm for Finding a Common Solution for a System of Mixed Equilibrium Problem, Quasivariational Inclusion Problem, and Fixed Point Problem of Nonexpansive Semigroup [PDF]
Journal of Inequalities and Applications, 2010 We introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for nonexpansive semigroup, and the set of solutions of the quasi-variational inclusion ...
M. Liu, S. S. Chang, P. Zuo
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Periodically growing solutions in a class of strongly monotone semiflows
Networks and Heterogeneous Media, 2012 We study the behavior of unbounded global orbits in a class of stronglymonotone semiflows and give a criterion for the existence of orbitswith periodic growth. We also prove the uniqueness and asymptoticstability of such orbits. We apply our results to a
Ken-Ichi Nakamura, Toshiko Ogiwara
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Abstract and Applied Analysis, 2014 We introduce and analyze a relaxed extragradient-like viscosity iterative algorithm for finding a solution of a generalized mixed equilibrium problem with constraints of several problems: a finite family of variational inequalities for inverse strongly ...
Lu-Chuan Ceng +3 more
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