Title | ||
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The Inertial Sub-Gradient Extra-Gradient Method for a Class of Pseudo-Monotone Equilibrium Problems |
Abstract | ||
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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 |
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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 Rehman | 1 | 0 | 0.34 |
Poom Kumam | 2 | 129 | 64.29 |
Wiyada Kumam | 3 | 10 | 6.97 |
Meshal Shutaywi | 4 | 3 | 3.11 |
Wachirapong Jirakitpuwapat | 5 | 0 | 0.34 |