Title
The Inertial Sub-Gradient Extra-Gradient Method for a Class of Pseudo-Monotone Equilibrium Problems
Abstract
In this article, we focus on improving the sub-gradient extra-gradient method to find a solution to the problems of pseudo-monotone equilibrium in a real Hilbert space. The weak convergence of our method is well-established based on the standard assumptions on a bifunction. We also present the application of our results that enable to solve numerically the pseudo-monotone and monotone variational inequality problems, in addition to the particular presumptions required by the operator. We have used various numerical examples to support our well-proved convergence results, and we can show that the proposed method involves a considerable influence over-running time and the total number of iterations.
Year
DOI
Venue
2020
10.3390/sym12030463
SYMMETRY-BASEL
Keywords
DocType
Volume
sub-gradient extra-gradient method,strongly pseudo-monotone equilibrium problems,convex quadratic optimization,strong convergence,Hilbert spaces
Journal
12
Issue
Citations 
PageRank 
3
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Habib ur Rehman100.34
Poom Kumam212964.29
Wiyada Kumam3106.97
Meshal Shutaywi433.11
Wachirapong Jirakitpuwapat500.34