TY - JOUR
T1 - CONVEX CONTRACTIONS OF ORDER n IN CAT(0) SPACES
AU - Unknown Last Name, Unknown First Name
AU - Yildirim, Isa
AU - Tekmanli, Yücel
AU - Khan, Safeer Hussain
PY - 2022
Y1 - 2022
N2 - In this paper, we work on convex contraction of order n. Our first result in general metric spaces shows that each convex contraction of order n is a Bessaga mapping. We then turn our attention to CAT (0) spaces. We prove a demiclosedness principle for such mappings in this setting. Next, we consider modified Mann iteration process and prove some convergence theorems for fixed points of such mappings in CAT (0) spaces. Our results are new in CAT (0) setting. Our results remain true in linear spaces like Hilbert and Banach spaces. Finally, we give an example in order to support our main results and to demonstrate the efficiency of modified Mann iteration process.
AB - In this paper, we work on convex contraction of order n. Our first result in general metric spaces shows that each convex contraction of order n is a Bessaga mapping. We then turn our attention to CAT (0) spaces. We prove a demiclosedness principle for such mappings in this setting. Next, we consider modified Mann iteration process and prove some convergence theorems for fixed points of such mappings in CAT (0) spaces. Our results are new in CAT (0) setting. Our results remain true in linear spaces like Hilbert and Banach spaces. Finally, we give an example in order to support our main results and to demonstrate the efficiency of modified Mann iteration process.
UR - https://dx.doi.org/10.47013/15.1.9
U2 - 10.47013/15.1.9
DO - 10.47013/15.1.9
M3 - Article
VL - 15
JO - Jordan Journal of Mathematics and Statistics
JF - Jordan Journal of Mathematics and Statistics
IS - Issue 1
ER -