TY - JOUR
T1 - A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces
AU - Wang , Chao
AU - Fan , Honglei
JO - Journal of Mathematical Study
VL - 4
SP - 432
EP - 444
PY - 2022
DA - 2022/11
SN - 55
DO - http://doi.org/10.4208/jms.v55n4.22.06
UR - https://global-sci.org/intro/article_detail/jms/21163.html
KW - Common fixed point, a pair of generalized nonexpansive mappings, Krasnoselskii type iterative algorithm, uniformly convex metric spaces.
AB - <p style="text-align: justify;">In uniformly convex metric spaces, we study the existence and uniqueness of a common fixed point for a pair of generalized nonexpansive mappings with some weak conditions. Meanwhile, we introduce a new Krasnoselskii type iterative algorithm for approximating the common fixed point. A numerical example is also given to demonstrate the main result. Our results generalize and improve some recent corresponding results.</p>