RT Journal Article
T1 Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
A1 Uddin, Izhar
A1 Garodia, Chanchal
A1 Nieto Roig, Juan José
K1 CAT(0) space
K1 Fixed point
K1 Δ-convergence
K1 Monotone nonexpansive mapping
AB In 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 results
PB SpringerOpen
YR 2018
FD 2018-12-11
LK http://hdl.handle.net/10347/19952
UL http://hdl.handle.net/10347/19952
LA eng
NO Uddin, 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/s13660-018-1925-2
NO The first author is thankful to University Grants Commission, India for the financial assistance in form of BSR-Startupreserach grant. The second author is grateful to University Grants Commission, India, for providing financial assistance in the form of the Junior Research Fellowship. The research of J.J. Nieto has been partially supported by AEI of the Ministerio de Economia y Competitividad of Spain under Grant MTM2016-75140-P and cofinanced by European Community fund FEDER and XUNTA de Galicia under grants GRC2015-004 and R2016/022
DS Minerva
RD 29 abr 2026