Monotone Operators and Variational Inequalities

Universitext - Nonlinear Elliptic Partial Differential Equations ◽

10.1007/978-3-319-78390-1_8 ◽

2018 ◽

pp. 215-243

Author(s):

Hervé Le Dret

Keyword(s):

Variational Inequalities ◽

Monotone Operators

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On well-structured convex–concave saddle point problems and variational inequalities with monotone operators

Optimization Methods and Software ◽

10.1080/10556788.2021.1928121 ◽

2021 ◽

pp. 1-36

Author(s):

Anatoli Juditsky ◽

Arkadi Nemirovski

Keyword(s):

Variational Inequalities ◽

Saddle Point ◽

Monotone Operators ◽

Saddle Point Problems

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Modified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-118 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 1

Author(s):

Kriengsak Wattanawitoon ◽

Poom Kumam

Keyword(s):

Variational Inequalities ◽

Equilibrium Problems ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Zero Point ◽

Monotone Operators ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium

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On variational inequalities with maximal monotone operators and multivalued perturbing terms in Sobolev spaces with variable exponents

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.09.058 ◽

2012 ◽

Vol 388 (2) ◽

pp. 695-715 ◽

Cited By ~ 8

Author(s):

Vy Khoi Le

Keyword(s):

Variational Inequalities ◽

Sobolev Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Variable Exponents

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Stable Solution of Variational Inequalities with Composed Monotone Operators

Lecture Notes in Economics and Mathematical Systems - Ill-posed Variational Problems and Regularization Techniques ◽

10.1007/978-3-642-45780-7_8 ◽

1999 ◽

pp. 111-136 ◽

Cited By ~ 1

Author(s):

A. Kaplan ◽

R. Tichatschke

Keyword(s):

Variational Inequalities ◽

Stable Solution ◽

Monotone Operators

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A Regularization Approach for Variational Inequalities with Pseudo-Monotone Operators

Operations Research Proceedings 1999 ◽

10.1007/978-3-642-58300-1_4 ◽

2000 ◽

pp. 19-22 ◽

Cited By ~ 1

Author(s):

Vyacheslav Kalashnikov ◽

Akhtar Ali Khan

Keyword(s):

Variational Inequalities ◽

Monotone Operators

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Splitting Algorithm for Solving Mixed Variational Inequalities with Inversely Strongly Monotone Operators

Matrix Methods: Theory, Algorithms and Applications ◽

10.1142/9789812836021_0027 ◽

2010 ◽

pp. 416-432

Author(s):

Ildar Badriev ◽

Oleg Zadvornov

Keyword(s):

Variational Inequalities ◽

Monotone Operators ◽

Splitting Algorithm ◽

Strongly Monotone ◽

Mixed Variational Inequalities ◽

Strongly Monotone Operators

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Generalization of Ky Fan's Minimax Inequality with Applications to Generalized Variational Inequalities for Pseudo-Monotone Operators and Fixed Point Theorems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0476 ◽

1996 ◽

Vol 204 (3) ◽

pp. 910-929 ◽

Cited By ~ 35

Author(s):

Mohammad S.R. Chowdhury ◽

Kok-Keong Tan

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Fixed Point Theorems ◽

Monotone Operators ◽

Minimax Inequality ◽

Generalized Variational Inequalities

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Variational Inequalities and Eigenvalue Problems for Nonlinear Maximal Monotone Operators in a Hilbert Space

American Journal of Mathematics ◽

10.2307/2373680 ◽

1975 ◽

Vol 97 (4) ◽

pp. 905 ◽

Cited By ~ 12

Author(s):

Joao-Paulo Dias

Keyword(s):

Hilbert Space ◽

Variational Inequalities ◽

Eigenvalue Problems ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Nonlinear Maximal Monotone

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Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces

Tohoku Mathematical Journal ◽

10.2748/tmj/1404911860 ◽

2014 ◽

Vol 66 (2) ◽

pp. 171-203 ◽

Cited By ~ 5

Author(s):

Teffera M. Asfaw ◽

Athanassios G. Kartsatos

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Reflexive Banach Spaces

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A class of nonlinear variational inequalities involving pseudomonotone operators

Journal of Applied Mathematics and Stochastic Analysis ◽

10.1155/s1048953300000071 ◽

2000 ◽

Vol 13 (1) ◽

pp. 73-75

Author(s):

Ram U. Verma

Keyword(s):

Variational Inequality ◽

Variational Inequalities ◽

Monotone Operators ◽

Variational Inequality Problems ◽

Vector Spaces ◽

Pseudomonotone Operators ◽

Topological Vector Spaces ◽

Locally Convex

We present the solvability of a class of nonlinear variational inequalities involving pseudomonotone operators in a locally convex Hausdorff topological vector spaces setting. The obtained result generalizes similar variational inequality problems on monotone operators.

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