%0 Journal Article
%T On fixed point approximation method for finite family of $k$-strictly pseudo-contractive mappings and pseudomonotone equilibrium problem in Hadamard space.
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Abass, Hammed Anuoluwapo
%A Oewole, Kazeem
%A Aremu, Kazeem Olalekan
%A Mebawondu, Akindele Adebayo
%A Narain, Ojen Kumar
%D 2023
%\ 01/01/2023
%V 14
%N 1
%P 11-24
%! On fixed point approximation method for finite family of $k$-strictly pseudo-contractive mappings and pseudomonotone equilibrium problem in Hadamard space.
%K Strictly pseudo-contractive mapping
%K Hadamard spaces
%K pseudomonotone equilibrium
%K extragradient algorithm
%K fixed point problem
%R 10.22075/ijnaa.2022.25010.2882
%X In this paper, we first introduce the Halpern iteration process for approximating the solution of the fixed point problem of a finite family of $k$-strictly pseudo-contractive mappings in Hadamard spaces. We also propose an extra gradient Halpern iterative algorithm for approximating a common solution of a finite family of $k_j$-strictly pseudocontractive mappings and a pseudomonotone equilibrium problem in Hadamard space. We prove a strong convergence result without imposing any strict (compactness) conditions for approximating the solutions to the aforementioned problems. We state some consequences of our results and display some numerical examples to show the performance of our results. Our results improve and generalize many recent results in the literature.
%U https://ijnaa.semnan.ac.ir/article_6480_4d2119aa3f86874a2e7dd0cfa93a0394.pdf