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An Algorithm with Remote Set Control for Inverse Strongly Monotone Mappings

Mathematics
In 2003, W. Takahashi and M. Toyoda established the weak convergence of the iteration process of solving a variational inequality problem. This variational inequality is associated with an inverse strongly monotone mapping.
Alexander J. Zaslavski
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Existence Results for System of Variational Inequality Problems with Semimonotone Operators

Journal of Inequalities and Applications, 2010
We introduce the system of variational inequality problems for semimonotone operators in reflexive Banach space. Using the Kakutani-Fan-Glicksberg fixed point theorem, we obtain some existence results for system of variational inequality problems for ...
Plubtieng Somyot, Sombut Kamonrat
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A New Gap Function for Vector Variational Inequalities with an Application

Journal of Applied Mathematics, 2013
We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided.
Hui-qiang Ma, Nan-jing Huang, Meng Wu, Donal O'Regan   +3 more
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The forward–backward splitting method for finding the minimum like-norm solution of the mixed variational inequality problem

Journal of Inequalities and Applications, 2023
We consider a general class of convex optimization problems in which one seeks to minimize a strongly convex function over a closed and convex set, which is by itself an optimal set of another mixed variational inequality problem in a Hilbert space ...
Wei-Bo Guan, Wen Song
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Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

Journal of Applied Mathematics, 2013
We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces.
Linsen Xie, Jinlu Li, Wenshan Yang
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Well-posedness for generalized (η,g,φ) $(\eta ,g,\varphi )$-mixed vector variational-type inequality and optimization problems

Journal of Inequalities and Applications, 2019
The purpose of this paper is to focus on the well-posedness for a generalized (η,g,φ) $(\eta ,g,\varphi )$-mixed vector variational-type inequality and optimization problems with a constraint.
Shih-sen Chang, Salahuddin, L. Wang, X. R. Wang, L. C. Zhao   +4 more
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Local boundedness and Harnack inequality for an inverse variational inequality problem with double nonlinear parabolic operator in finance

Journal of Inequalities and Applications
The objective of this paper is to investigate a class of initial boundary value problems for inverse variational inequalities that arise from financial matters.
Jia Li, Zhipeng Tong
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A Class of Nonlinear Fuzzy Variational Inequality Problems

Mathematics, 2019
In this paper, we consider nonlinear variational inequality problems with fuzzy variables. The fuzzy variables were introduced to deal with the variational inequality containing noise for which historical data is not available.
Cunlin Li, Zhifu Jia, Yeong-Cheng Liou
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Convergence analysis of variational inequality and fixed point problems for pseudo-contractive mapping with Lipschitz assumption

Results in Nonlinear Analysis, 2019
In this paper, we consider and study variational inequality and fixed point problems for pseudo-contractive mapping. It is proven that the sequences generated by the proposed iterative algorithm converges strongly to the common solution of the ...
Caifen Zhang, Jinzuo Chen
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Inertial hybrid algorithm for variational inequality problems in Hilbert spaces

Journal of Inequalities and Applications, 2020
For a variational inequality problem, the inertial projection and contraction method have been studied. It has a weak convergence result. In this paper, we propose a strong convergence iterative method for finding a solution of a variational inequality ...
Ming Tian, Bing-Nan Jiang
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