Geodesic
Resolvent dynamical systems and mixed variational inequalities
Bin-Mohsin, Bandar1 ; Noor, Muhammad Aslam2 ; Noor, Khalida Inayat3 ; Latif, Rafia3
1 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
2 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
3 Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2925-2933.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we use the dynamical systems technique to suggest and investigate some inertial proximal methods for solving mixed variational inequalities and related optimization problems. It is proved that the convergence analysis of the proposed methods requires only the monotonicity. Some special cases are also considered. Our method of proof is very simple as compared with other techniques. Ideas and techniques of this paper may be extended for other classes of variational inequalities and equilibrium problems.
DOI : 10.22436/jnsa.010.06.07
Classification : 26D15, 26D10, 90C23, 49J40
Keywords: Variational inequalities, dynamical systems, inertial proximal methods, convergence.

Bin-Mohsin, Bandar 1 ; Noor, Muhammad Aslam 2 ; Noor, Khalida Inayat 3 ; Latif, Rafia 3

1 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
2 Department of Mathematics, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan
3 Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan 
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Bin-Mohsin, Bandar; Noor, Muhammad Aslam; Noor, Khalida Inayat; Latif, Rafia. Resolvent dynamical systems and mixed variational inequalities. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2925-2933. doi : 10.22436/jnsa.010.06.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.06.07/

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