Some convergence results using a new implicit iteration process in CAT(0) space

Document Type : Research Paper


1 Department of Mathematics, Govt. College Israna, Panipat (Haryana)-132103, India

2 Department of Mathematics, S. K. Govt. College, Rewari (Haryana)-123401, India

3 Department of Mathematics, Maharshi Dayanand University, Rohtak (Haryana)-124001, India



We 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.


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Articles in Press, Corrected Proof
Available Online from 04 March 2024
  • Receive Date: 14 July 2022
  • Accept Date: 15 January 2024