A modified Halpern-proximal point method for approximating solutions of mixed equilibrium and fixed point problems in Hadamard spaces
Kazeem Olalekan Aremu, Maggie Aphane, Abdulkarim Hassan Ibrahim, Olawale Kazeem Oyewole · Arabian Journal of Mathematics · 2022
Abstract In this paper, we introduce and study a modified Halpern-type proximal point algorithm which comprises a finite family of resolvents of mixed equilibrium problems and a finite family of k-demimetric mappings. We prove that the algorithm converges strongly to a common solution of a finite family of mixed equilibrium problems, which is also a common fixed point of a finite family of k-demimetric mappings in a Hadamard space. Furthermore, we give a numerical example of our algorithm to show the applicability of our algorithm.