Self-adaptive iterative method for solving boundedly Lipschitz continuous and strongly monotone variational inequalities. [PDF]
J Inequal Appl, 2018 He S, Liu L, Gibali A.
europepmc +3 more sources
Mathematics, 2023 In this paper, under some new appropriate conditions imposed on the parameters and mappings involved in the proximal mapping associated with a general H-monotone operator, its Lipschitz continuity is proved and an estimate of its Lipschitz constant is ...
Javad Balooee +4 more
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Monotone and cone preserving mappings on posets [PDF]
Mathematica Bohemica, 2023 We define several sorts of mappings on a poset like monotone, strictly monotone, upper cone preserving and variants of these. Our aim is to study in which posets some of these mappings coincide.
Ivan Chajda, Helmut Länger
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A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces
Journal of Inequalities and Applications, 2010 We introduce a new composite iterative scheme by the viscosity approximation method for nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the sequence generated by the iterative scheme converges strongly to a common point ...
Jong Soo Jung
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Strongly Monotone Drawings of Planar Graphs [PDF]
, 2016 A straight-line drawing of a graph is a monotone drawing if for each pair of vertices there is a path which is monotonically increasing in some direction, and it is called a strongly monotone drawing if the direction of monotonicity is given by the ...
Felsner, Stefan +5 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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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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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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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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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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