Results 21 to 30 of about 71,651 (281)
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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On the solution of monotone nested variational inequalities [PDF]
, 2021 We study nested variational inequalities, which are variational inequalities whose feasible set is the solution set of another variational inequality. We present a projected averaging Tikhonov algorithm requiring the weakest conditions in the literature ...
Lampariello, Lorenzo +2 more
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Computers & Mathematics with Applications, 1993 AbstractWe are discussing here two variational inequalities.
Jen-Chih Yao, Jong-Shenq Guo
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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 +3 more
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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 +29 more
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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
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On a ``reversed'' variational inequality [PDF]
Topological Methods in Nonlinear Analysis, 2001 We are concerned with a class of penalized semilinear elliptic problems depending on a parameter. We study some multiplicity results and the limit problem obtained when the parameter goes to $\infty$. We obtain a ``reversed'' variational inequality, which is deeply investigated in low dimension.
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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
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On a Class of Generalized Variational Inequalities and Quasi-Variational Inequalities
Journal of Mathematical Analysis and Applications, 1993 AbstractThe purpose of this paper is to study the existence problem of solutions for a class of generalized variational inequalities and quasi-variational inequalities under much weaker hypotheses and in a more general setting. The results presented in this paper generalize corresponding earlier results for the noncompact case and improve other recent ...
Cong-Jun Zhang, S. S. Chang
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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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