TY - JOUR
T1 - Fixed points of generalized hybrid mappings in 2-uniformly convex hyperbolic metric spaces
AU - Khan, Safeer Hussain
AU - Kalsoom, Amna
AU - Rashid, Maliha
AU - Shahid, Lariab
PY - 2022/6/1
Y1 - 2022/6/1
N2 - In this manuscript, we introduce generalized hybrid mappings in hyperbolic metric spaces. We first show that the set of fixed points of such mappings is closed and convex. We then prove the existence of fixed point of these mappings and finally approximate the fixed point using Mann iterative process. We have also provided an example of generalized hybrid mappings in the setting of -trees for the first time in the literature.
AB - In this manuscript, we introduce generalized hybrid mappings in hyperbolic metric spaces. We first show that the set of fixed points of such mappings is closed and convex. We then prove the existence of fixed point of these mappings and finally approximate the fixed point using Mann iterative process. We have also provided an example of generalized hybrid mappings in the setting of -trees for the first time in the literature.
KW - Fixed Point
KW - Hybrid Mapping
KW - Hyperbolic Metric Spaces
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85160229438&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85160229438&origin=inward
U2 - 10.14744/sigma.2022.00027
DO - 10.14744/sigma.2022.00027
M3 - Article
SN - 1304-7191
VL - 40
SP - 227
EP - 234
JO - Sigma Journal of Engineering and Natural Sciences
JF - Sigma Journal of Engineering and Natural Sciences
IS - 2
ER -