Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications

In this paper, we prove the existence and uniqueness of fixed points for F-contractions in complete Branciari b-metric spaces. Furthermore, an example for supporting the related result is shown. We also present the concept of the weak well-posedness of the fixed-point problem of the mapping T and di...

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Bibliographic Details
Published inJournal of function spaces Vol. 2020; no. 2020; pp. 1 - 10
Main Authors Zhao, Yanfeng, Li, Chaobo, Huang, Shuai, Chen, Lili
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
Hindawi Limited
Wiley
Subjects
Contraction
Dynamic programming
Fixed points (mathematics)
Inequality
Integral equations
Metric space
Uniqueness
Well posed problems
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Summary:In this paper, we prove the existence and uniqueness of fixed points for F-contractions in complete Branciari b-metric spaces. Furthermore, an example for supporting the related result is shown. We also present the concept of the weak well-posedness of the fixed-point problem of the mapping T and discuss the weak well-posedness of the fixed-point problem of an F-contraction in complete Branciari b-metric spaces. Besides, we investigate the problem of common fixed points for F-contractions in above spaces. As an application, we apply our main results to solving the existence and uniqueness of solutions for a class of the integral equation and the dynamic programming problem, respectively.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/7963242