On iterative methods for bilevel equilibrium problems

Abstract

Abstract We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors. Our result excludes some assumptions as were the cases in their results.

Keywords

• Bilevel equilibrium problems
• Halpern sequence
• Halpern–Korpelevič algorithm
• Extragradient algorithm with line search technique