New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces

Joint Authors

Imdad, Mohammad
Abdeljawad (Maraaba), T.
Arif, Mohammad
Saleh, Hayel N.

Source

Journal of Function Spaces

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

Mathematics

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