Geodesic
Some convergence results for monotone nonexpansive mappings in ordered CAT(0) spaces
Izhar Uddin1 ; Chanchal Garodia1 ; İsa Yildirim2 ; Izhar Uddin ; Chanchal Garodia ; İsa Yildirim
1Department of Mathematics, Jamia Millia Islamia, New Delhi, India
2Department of Mathematics, Atatürk University, Erzurum, Turkey
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 2, pp. 195-208 
Izhar Uddin; Chanchal Garodia; İsa Yildirim; Izhar Uddin; Chanchal Garodia; İsa Yildirim. Some convergence results for monotone nonexpansive mappings in ordered CAT(0) spaces. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 2, pp. 195-208. http://geodesic.mathdoc.fr/item/AMUC_2021_90_2_a5/
@article{AMUC_2021_90_2_a5,
     author = {Izhar Uddin and Chanchal Garodia and \.Isa Yildirim and Izhar Uddin and Chanchal Garodia and \.Isa Yildirim},
     title = { Some convergence results for monotone nonexpansive mappings in ordered {CAT(0)} spaces},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {195--208},
     year = {2021},
     volume = {90},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_2_a5/}
}
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%A İsa Yildirim
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Voir la notice de l'article provenant de la source Comenius University

In this paper, we study Picard-S iteration scheme for monotone nonexpansive mappings in the setting of CAT(0) spaces and establish some convergence results. We prove ∆ and strong convergence results. Further, we provide a non trivial numerical example to illustrate the convergence of our iteration scheme and its stability with respect to the different parameters and initial values