Accelerated Subgradient Extragradient Algorithm for Solving Bilevel System of Equilibrium Problems

In this research paper, we propose a novel approach termed the inertial subgradient extragradient algorithm to solve bilevel system equilibrium problems within realm of real Hilbert spaces. Our is capable circumventing necessity for prior knowledge about Lipschitz constant involving bifunction and only computes minimization strong bifunctions onto feasible set that required. Under appropriate conditions, establish convergence theorems our proposed algorithms. To validate algorithms, illustrate series numerical examples. Through these examples, demonstrate performance algorithms have put forth in paper.