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

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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Main Authors: Lili Chen, Shuai Huang, Chaobo Li, Yanfeng Zhao
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/7963242
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spelling doaj-30c0f1f9b8ae431da0a2eafc31c793262020-12-07T09:08:27ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/79632427963242Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and ApplicationsLili Chen0Shuai Huang1Chaobo Li2Yanfeng Zhao3Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn 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.http://dx.doi.org/10.1155/2020/7963242
collection DOAJ
language English
format Article
sources DOAJ
author Lili Chen
Shuai Huang
Chaobo Li
Yanfeng Zhao
spellingShingle Lili Chen
Shuai Huang
Chaobo Li
Yanfeng Zhao
Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications
Journal of Function Spaces
author_facet Lili Chen
Shuai Huang
Chaobo Li
Yanfeng Zhao
author_sort Lili Chen
title Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications
title_short Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications
title_full Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications
title_fullStr Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications
title_full_unstemmed Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications
title_sort several fixed-point theorems for f-contractions in complete branciari b-metric spaces and applications
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/7963242
work_keys_str_mv AT lilichen severalfixedpointtheoremsforfcontractionsincompletebranciaribmetricspacesandapplications
AT shuaihuang severalfixedpointtheoremsforfcontractionsincompletebranciaribmetricspacesandapplications
AT chaoboli severalfixedpointtheoremsforfcontractionsincompletebranciaribmetricspacesandapplications
AT yanfengzhao severalfixedpointtheoremsforfcontractionsincompletebranciaribmetricspacesandapplications
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