Fixed Point Results for Mapping of Nonlinear Contractive Conditions of α-Admissibility Form

被引:8
作者
Shatanawi, Wasfi [1 ,2 ,3 ]
Abodayeh, Kamaleldin [1 ]
机构
[1] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[2] China Med Univ Hosp, Dept Math, Taichung, Taiwan
[3] China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源
IEEE ACCESS | 2019年 / 7卷
关键词
Metric spaces; almost perfect function; common fixed point; alpha-admissible mapping; THEOREMS; (PSI;
D O I
10.1109/ACCESS.2019.2910794
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We introduce in this paper some concepts of alpha-admissible triangular mappings with respect to a function beta and the concept of (alpha,beta,psi)-contraction. We also utilize our new concept to prove a fixed point theorem based on the contractive condition of type alpha-admissibility. We apply our main result to derive many fixed point results. Also, we construct some examples to support our work. In the literature, many exciting results are improved and extended using our results.
引用
收藏
页码:50280 / 50286
页数:7
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