HALPERN REGULARIZATION FOR SOLVING QUASI-EQUILIBRIUM PROBLEMS AND ZERO POINT PROBLEM IN HADAMARD SPACES

Abstract

In this paper, we propose a Halpern regularization method and prove its strongconvergence to a common element of the set of solutions of a quasi-equilibrium problemand a common zero of a finite family of monotone operators in Hadamard spaces. Finally, numerical experiments of our result are presented to further show its applicability.