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A new inertial-based method for solving pseudomonotone operator equations with application
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sani Aji +4 more
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Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations
Journal of Optimization Theory and Applications, 1999Variational inequalities and generalized variational inequalities with perturbed operators and constraints are considered and convergence of solutions to such problems is proved under an assumption of pseudomonotonicity. The paper extends previous results given by the authors proved in the setting of monotone operators.
LIGNOLA, MARIA BEATRICE +1 more
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Journal of Optimization Theory and Applications, 2001
The notion of exceptional family of elements for a set-valued mapping \(f\) on a Hilbert space \(H\), with respect to a closed pointed convex cone \(K\) in \(H\), is introduced. The main result of the paper shows that, for a set-valued pseudo-monotone mapping \(f\) on \(H\), the solvability of a complementary problem defined by \(f\) and \(K\) is ...
V V Kalashnikov, G Isac
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The notion of exceptional family of elements for a set-valued mapping \(f\) on a Hilbert space \(H\), with respect to a closed pointed convex cone \(K\) in \(H\), is introduced. The main result of the paper shows that, for a set-valued pseudo-monotone mapping \(f\) on \(H\), the solvability of a complementary problem defined by \(f\) and \(K\) is ...
V V Kalashnikov, G Isac
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Nonlinear Analysis: Theory, Methods & Applications, 2011
In this paper, a solution existence theorem for a generalized variational inequality problem with an operator which is defined on an infinite-dimensional space is given. By using a new technique which reduces infinite variational inequality problems to finite ones, the proof of the theorem is provided.
G M Lee
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In this paper, a solution existence theorem for a generalized variational inequality problem with an operator which is defined on an infinite-dimensional space is given. By using a new technique which reduces infinite variational inequality problems to finite ones, the proof of the theorem is provided.
G M Lee
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Generalized Variational-Like Inequalities for Pseudomonotone Type II Operators
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad S R Chowdhury, H B Thompson
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Projected Subgradient Algorithms for Pseudomonotone Equilibrium Problems and Fixed Points of Pseudocontractive Operators [PDF]
Mathematics, 2020 The projected subgradient algorithms can be considered as an improvement of the projected algorithms and the subgradient algorithms for the equilibrium problems of the class of monotone and Lipschitz continuous operators. In this paper, we present and analyze an iterative algorithm for finding a common element of the fixed point of pseudocontractive ...
Naseer Shahzad +2 more
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Solution Existence of Variational Inequalities with Pseudomonotone Operators in the Sense of Brézis
Journal of Optimization Theory and Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kien, B. T. +3 more
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Iterative Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Pseudocontractive Operators [PDF]
Mathematics, 2019 In this paper, we are interested in the pseudomonotone variational inequalities and fixed point problem of pseudocontractive operators in Hilbert spaces. An iterative algorithm has been constructed for finding a common solution of the pseudomonotone variational inequalities and fixed point of pseudocontractive operators.
Jen-Chih Yao +2 more
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The Capacity for Pseudomonotone Operators
Potential Analysis, 2001The notion of capacity relative to the \(p\)-Laplacian is well known; recently \textit{G. Dal Maso} and \textit{I. V. Skrypnik} [Potential Anal. 7, No. 4, 765-803 (1997; Zbl 0887.31005)] have given a notion of capacity relative to nonlinear elliptic monotone operators of the type \(-\text{div}(a(x,\nabla u))\) and have used this notion to study the ...
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Numerical Algorithms, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aliyu Muhammed Awwal, Thongchai Botmart
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aliyu Muhammed Awwal, Thongchai Botmart
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