A Descent Resolvent Method for Mixed Quasi Variational Inequalities

Authors

Fatimazahra Benssi, Laboratoire d’Ing´enierie des Syst´emes et Technologies de l’Information, ENSA, Ibn Zohr University, Agadir, BP 1136, Morocco.Follow
Abdellah Bnouhachem, Laboratoire d’Ing´enierie des Syst´emes et Technologies de l’Information, ENSA, Ibn Zohr University, Agadir, BP 1136, Morocco.\\ School of Management Science and Engineering, Nanjing University, Nanjing, 210093, P.R. China.Follow
Ali Ou-yassine, Laboratoire d’Ing´enierie des Syst´emes et Technologies de l’Information, ENSA, Ibn Zohr University, Agadir, BP 1136, Morocco.Follow
Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan.Follow

Author Country (or Countries)

P.R. China.

Abstract

In this paper, we suggest and analyze a new iterative method for solving mixed quasi variational inequalities. The new iteration is obtained by searching the optimal step size along the integrated descent direction from two descent directions. Global convergence of the proposal method is proved under certain assumptions. Our results can be treated as refinement of previously known results. An example is given to illustrate the efficiency of the proposed method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100311

Recommended Citation

Benssi, Fatimazahra; Bnouhachem, Abdellah; Ou-yassine, Ali; and Aslam Noor, Muhammad (2016) "A Descent Resolvent Method for Mixed Quasi Variational Inequalities," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 11.
DOI: http://dx.doi.org/10.18576/amis/100311
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/11