Uddin, IzharGarodia, ChanchalNieto Roig, Juan José2019-10-262019-10-262018-12-11Uddin, I., Garodia, C., & Nieto, J. (2018). Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations. Journal Of Inequalities And Applications, 2018(1). doi: 10.1186/s13660-018-1925-2http://hdl.handle.net/10347/19952In this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0) space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration scheme, and also, as an application, we discuss the solution of integral equation. Our results extend some of the relevant resultseng© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttp://creativecommons.org/licenses/by/4.0/CAT(0) spaceFixed pointΔ-convergenceMonotone nonexpansive mappingjournal article10.1186/s13660-018-1925-21029-242Xopen access