AIMS Mathematics | |
Inertial projection methods for solving general quasi-variational inequalities | |
Khalida Inayat Noor1  Saudia Jabeen1  Muhammad Aslam Noor1  Bandar Bin-Mohsin2  | |
[1] 1 Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan;2 Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia; | |
关键词: quasi-variational inequality; inertial term; projection operator; inertial methods; convergence; | |
DOI : 10.3934/math.2021064 | |
来源: DOAJ |
【 摘 要 】
In this paper, we consider a new class of quasi-variational inequalities, which is called the general quasi-variational inequality. Using the projection operator technique, we establish the equivalence between the general quasi-variational inequalities and the fixed point problems. We use this alternate formulation to propose some new inertial iterative schemes for solving the general quasi-variational inequalities. The convergence criteria of the new inertial projection methods under some appropriate conditions is investigated. Since the general quasi-variational inequalities include the quasi-variational inequalities, variational inequalities, complementarity problems and the related optimization problems as special cases, our results continue to hold for these problems. It is an interesting problem to compare the efficiency of the proposed methods with other known methods.
【 授权许可】
Unknown