On a Version of Dontchev and Hager's Inverse Mapping Theorem

被引：0
作者：
Alarfaj, Thanaa A. [1 ,2 ]
Alsulami, Saud M. [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Imam Abdulrahman Bin Faisal Univ, Coll Sci, Dept Math, POB 1982, Dammam 31441, Saudi Arabia
来源：
AXIOMS | 2024年 / 13卷 / 07期
关键词：
strong b-metric space (SbMS); Nadler's fixed-point theorem; inverse mapping theorem;
D O I：
10.3390/axioms13070445
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By revisiting an open question raised by Kirk and Shahzad, we are able to prove a generalized version of Nadler's fixed-point theorem in the context of strong b-metric space. Such a result leads us to prove a new version of Dontchev and Hager's inverse mapping theorem. Some examples are provided to illustrate the results.
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页数：12
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