A novel iterative approach for solving common fixed point problems in Geodesic spaces with convergence analysis
Thanatporn Bantaojai, Chanchal Garodia, Izhar Uddin, Nuttapol Pakkaranang, Panu Yimmuang · Carpathian Journal of Mathematics · 2021
In this paper, we introduce a new iterative method for nonexpansive mappings in CAT(\kappa) spaces. First, the rate of convergence of proposed method and comparison with recently existing method is proved. Second, strong and \Delta-convergence theorems of the proposed method in such spaces under some mild conditions are also proved. Finally, we provide some non-trivial examples to show efficiency and comparison with many previously existing methods.