New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces
Joint Authors
Imdad, Mohammad
Abdeljawad (Maraaba), T.
Arif, Mohammad
Saleh, Hayel N.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we introduce the notion of generalized L-contractions which enlarge the class of ℒ-contractions initiated by Cho in 2018.
Thereafter, we also, define the notion of L∗-contractions.
Utilizing our newly introduced notions, we establish some new fixed-point theorems in the setting of complete Branciari’s metric spaces, without using the Hausdorff assumption.
Moreover, some examples and applications to boundary value problems of the fourth-order differential equations are given to exhibit the utility of the obtained results.
American Psychological Association (APA)
Saleh, Hayel N.& Imdad, Mohammad& Abdeljawad (Maraaba), T.& Arif, Mohammad. 2020. New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1186038
Modern Language Association (MLA)
Saleh, Hayel N.…[et al.]. New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces. Journal of Function Spaces No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1186038
American Medical Association (AMA)
Saleh, Hayel N.& Imdad, Mohammad& Abdeljawad (Maraaba), T.& Arif, Mohammad. New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1186038
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186038