Abstract

In this paper, we establish that every controlled metric space (X,dα) induces a Hausdorff controlled metric (Hα,CLD(X)) on the class of closed subsets of X which is also complete if (X,dα) is complete. Furthermore, we define multivalued almost F-contractions on Hausdorff controlled metric spaces and prove some fixed point results.

Details

Title
Fixed point results via a Hausdorff controlled type metric
Author
Alamgir Nayab 1 ; Quanita, Kiran 2 ; Işık Hüseyin 3   VIAFID ORCID Logo  ; Hassen, Aydi 4 

1  National University of Sciences and Technology (NUST), School of Natural Sciences, Islamabad, Pakistan (GRID:grid.412117.0) (ISNI:0000 0001 2234 2376) 
2  National University of Sciences and Technology (NUST), School of Electrical Engineering and Computer Science (SEECS), Islamabad, Pakistan (GRID:grid.412117.0) (ISNI:0000 0001 2234 2376) 
3  Ton Duc Thang University, Nonlinear Analysis Research Group, Ho Chi Minh City, Vietnam (GRID:grid.444812.f); Ton Duc Thang University, Faculty of Mathematics and Statistics, Ho Chi Minh City, Vietnam (GRID:grid.444812.f) 
4  Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia (GRID:grid.7900.e) (ISNI:0000 0001 2114 4570); China Medical University, China Medical University Hospital, Taichung, Taiwan (GRID:grid.254145.3) (ISNI:0000 0001 0083 6092) 
Publication year
2020
Publication date
Jan 2020
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-020-2491-8
ProQuest document ID
2344344913
Copyright
Advances in Difference Equations is a copyright of Springer, (2020). All Rights Reserved. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.