Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682216220250201Some convergence results using a new implicit iteration process in CAT(0) space373378857010.22075/ijnaa.2024.27805.3717ENPrateek MorDepartment of Mathematics, Govt. College Israna, Panipat (Haryana)-132103, IndiaSangita YadavDepartment of Mathematics, S. K. Govt. College, Rewari (Haryana)-123401, IndiaAnju PanwarDepartment of Mathematics, Maharshi Dayanand University, Rohtak (Haryana)-124001, India0000-0002-0460-6048Pinki LambaDepartment of Mathematics, Maharshi Dayanand University, Rohtak (Haryana)-124001, IndiaJournal Article20220714We prove the convergence of the newly defined iteration method to a common fixed point of a finite nonexpansive mappings family in CAT(0) space. A numerical example is given to check the convergence of the newly generalized iteration process. Many known results are extended and improved in this article.https://ijnaa.semnan.ac.ir/article_8570_cd935172bfb9bb53d43928c24f2f741c.pdf