Results 21 to 30 of about 4,375,993 (379)

Integral Inequalities and their Applications to the Calculus of Variations on Time Scales [PDF]

open access: yes, 2010
We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.Comment: To appear in Mathematical Inequalities & Applications (http://mia.ele-math.com).
Bohner, Martin J.   +2 more
core   +2 more sources

On a ``reversed'' variational inequality [PDF]

open access: yesTopological Methods in Nonlinear Analysis, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

The Forward-Backward-Forward Method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

open access: yes, 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
core   +1 more source

Deep Neural Network Structures Solving Variational Inequalities [PDF]

open access: yesSet-Valued and Variational Analysis, 2018
Motivated by structures that appear in deep neural networks, we investigate nonlinear composite models alternating proximity and affine operators defined on different spaces. We first show that a wide range of activation operators used in neural networks
P. Combettes, J. Pesquet
semanticscholar   +1 more source

Reinforcement problems for variational inequalities on fractal sets [PDF]

open access: yes, 2015
The aim of this paper is to study reinforcement problems for variational inequalities of the obstacle type on fractal ...
Capitanelli, Raffaela   +1 more
core   +1 more source

Existence of Solutions for η-Generalized Vector Variational-Like Inequalities

open access: yesJournal of Inequalities and Applications, 2010
We introduce and study a class of η-generalized vector variational-like inequalities and a class of η-generalized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces.
Xi Li, Jong Kyu Kim, Nan-Jing Huang
doaj   +1 more source

On a Class of Generalized Variational Inequalities and Quasi-Variational Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1993
Il s'agit d'étudier le problème de l'existence de solutions pour une classe d'inégalités variationnelles généralisées et quasi- variationelles en hypothèses faibles. De cette manière les auteurs atteindent des résultats, qui étendent les résultats de \textit{F. E. Browder} [Math. Ann. 177,283-301 (1968; Zbl 0176.452)] et de \textit{P.
Cong-Jun Zhang, S. S. Chang
openaire   +2 more sources

Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities

open access: yesJournal of Applied Mathematics, 2012
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor   +2 more
doaj   +1 more source

The Solvability of a Class of General Nonlinear Implicit Variational Inequalities Based on Perturbed Three-Step Iterative Processes with Errors

open access: yesFixed Point Theory and Applications, 2008
We introduce and study a new class of general nonlinear implicit variational inequalities, which includes several classes of variational inequalities and variational inclusions as special cases.
Jeong Sheok Ume   +2 more
doaj   +2 more sources

On the Generalized Nonlinear Variational Inequalities and Quasi-Variational Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1996
The paper deals with two kinds of variational inequality problems: 1. (Generalized nonlinear variational inequality problem -- GNVI\((T,g,b,X)\)) Find \(\widehat x\in X\) and \(\widehat w\in T\widehat x\) such that \[ \text{Re}\langle\widehat w,g(\widehat x) -g(y)\rangle+ b(\widehat x,\widehat x)- b(\widehat x,y)\geq 0\;\forall y\in X; \] 2 ...
Su-Jane Yu, Jen-Chih Yao
openaire   +2 more sources

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