@Article{JMS-55-432,
author = {Wang , Chao and Fan , Honglei},
title = {A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {4},
pages = {432--444},
abstract = {
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.
},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n4.22.06},
url = {http://global-sci.org/intro/article_detail/jms/21163.html}
}
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 -
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.
Wang , Chao and Fan , Honglei. (2022). A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces.
Journal of Mathematical Study. 55 (4).
432-444.
doi:10.4208/jms.v55n4.22.06
Copy to clipboard