Skip to content

Adeolu Taiwo, Simeon Reich, Ravi P. Agarwal, Tseng-type algorithms for solving variational inequalities over the solution sets of split variational inclusion problems with an application to a bilevel optimization problem

Full Text: PDF
DOI: 10.23952/jano.6.2024.1.02
Volume 6, Issue 1, 1 April 2024, Pages 41-57

 

Abstract. We study a new class of variational inclusion problems in the framework of real Hilbert spaces. We propose two Tseng-type algorithms with inertial extrapolation for solving these problems and carry out the convergence analysis of these two methods. We also give an application of our results to solving convex bilevel optimization problems.

 

How to Cite this Article:
A. Taiwo, S. Reich, R. P. Agarwal, Tseng-type algorithms for solving variational inequalities over the solution sets of split variational inclusion problems with an application to a bilevel optimization problem, J. Appl. Numer. Optim. 6 (2024), 41-57.