Results 21 to 30 of about 4,480,634 (310)

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, Dvinskikh, Darina, Dvurechensky, Pavel, Gasnikov, Alexander, Kroshnin, Alexey, Pasechnyuk, Dmitry, Piskunova, Victorya, Stonyakin, Fedor, Tyurin, Alexander   +8 more
core   +3 more sources

Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

Journal of Function Spaces, 2022
The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide ...
Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem   +4 more
doaj   +1 more source

Perturbed mixed variational-like inequalities

AIMS Mathematics, 2020
Perturbed mixed variational-like inequalities is a newly developed class of variational-like inequalities. The existence of a unique solution of perturbed mixed variational-like inequalities is being conducted by using auxiliary principle technique.
Misbah Iram Bloach, Muhammad Aslam Noor
doaj   +1 more source

Variational Inequalities in Critical-State Problems [PDF]

, 2004
Similar evolutionary variational inequalities appear as convenient formulations for continuous quasistationary models for sandpile growth, formation of a network of lakes and rivers, magnetization of type-II superconductors, and elastoplastic ...
Aronsson, Badía, Bak, Barrett, Bean, Bossavit, Bouchaud, Brandt, de Gennes, Duvaut, Ekeland, Evans, Evans, Glowinski, Han, Jackson, Kim, Leonid Prigozhin, Prager, Prigozhin, Prigozhin, Prigozhin, Prigozhin, Prigozhin, Prigozhin, Prigozhin, Puhl, Shuster, Temam, Yin   +29 more
core   +2 more sources

Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities

Journal of Inequalities and Applications, 2009
We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cases.
Zeqing Liu, Lin Chen, Jeong Sheok Ume, Shin Min Kang   +3 more
doaj   +2 more sources

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

, 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., Ferreira, Rui A. C., Torres, Delfim F. M.   +2 more
core   +2 more sources

Some Aspects of Extended General Variational Inequalities

Abstract and Applied Analysis, 2012
Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
doaj   +1 more source

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

, 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, Csetnek, Ernö Robert, Vuong, Phan Tu   +2 more
core   +1 more source

Inexact model: a framework for optimization and variational inequalities [PDF]

Optim. Methods Softw., 2019
In this paper, we propose a general algorithmic framework for the first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities (VIs).
F. Stonyakin, A. Tyurin, A. Gasnikov, P. Dvurechensky, A. Agafonov, D. Dvinskikh, M. Alkousa, D. Pasechnyuk, S. Artamonov, Victoria V. Piskunova   +9 more
semanticscholar   +1 more source

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

Fixed 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, Shin Min Kang, Zeqing Liu   +2 more
doaj   +2 more sources