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Inertial projection methods for solving general quasi-variational inequalities

Authors :
Saudia Jabeen
Bandar Bin-Mohsin
Muhammad Aslam Noor
Khalida Inayat Noor
Source :
AIMS Mathematics, Vol 6, Iss 2, Pp 1075-1086 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

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.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
2
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.324589c3eeb47c3a4e29e89bca92842
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021064/fulltext.html