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Date Published: 29/03/2023
Online Published: 29/03/2023
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DOI: https://doi.org/10.54607/hcmue.js.20.3.3730(2023)
Issue
Vol. 20 No. 3 (2023)
Section
Articles
How to Cite
Trần , H. M., Phạm , D. K., & Huỳnh , P. T. (2023). PROXIMAL POINT ALGORITHM FOR THE GENERALIZED P0 VARIATIONAL INEQUALITIES PROBLEMS. HCMUE Journal of Science, 20(3), 491. https://doi.org/10.54607/hcmue.js.20.3.3730(2023)

PROXIMAL POINT ALGORITHM FOR THE GENERALIZED P0 VARIATIONAL INEQUALITIES PROBLEMS

Hồng Mơ Trần 1, , Duy Khánh Phạm 2, Phước Toàn Huỳnh 2
1 Department of Basic Science, Ho Chi Minh City Open University, Vietnam
2 Department of Mathematics, HCMC University of Education, Ho Chi Minh, Vietnam

Main Article Content

Abstract

 

This paper studies the proximal point algorithm for the class of generalized  variational inequalities. By using the upper semicontinuity result establishing the class of weakly univalent operators, we show that the iterative sequence generated by the algorithm is bounded, approaches to the solution set of the initial problem, and each of its accumulation points is a solution to the problem, provided that the solution set is bounded. We also give an example to show the necessity of boundedness.

 

Keywords

Variational inequalities, proximal point algorithm, - functions, P- functions, natuaral mappings, univalent operators, convergence

Article Details

References

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