New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces
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 com...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9491786 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547664159309824 |
|---|---|
| author | Hayel N. Saleh Mohammad Imdad Thabet Abdeljawad Mohammad Arif |
| author_facet | Hayel N. Saleh Mohammad Imdad Thabet Abdeljawad Mohammad Arif |
| author_sort | Hayel N. Saleh |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b5242d95c5c7447bbde94142f39d6642 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b5242d95c5c7447bbde94142f39d66422025-02-03T06:43:59ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/94917869491786New Contractive Mappings and Their Fixed Points in Branciari Metric SpacesHayel N. Saleh0Mohammad Imdad1Thabet Abdeljawad2Mohammad Arif3Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaIn 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.http://dx.doi.org/10.1155/2020/9491786 |
| spellingShingle | Hayel N. Saleh Mohammad Imdad Thabet Abdeljawad Mohammad Arif New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces Journal of Function Spaces |
| title | New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces |
| title_full | New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces |
| title_fullStr | New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces |
| title_full_unstemmed | New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces |
| title_short | New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces |
| title_sort | new contractive mappings and their fixed points in branciari metric spaces |
| url | http://dx.doi.org/10.1155/2020/9491786 |
| work_keys_str_mv | AT hayelnsaleh newcontractivemappingsandtheirfixedpointsinbranciarimetricspaces AT mohammadimdad newcontractivemappingsandtheirfixedpointsinbranciarimetricspaces AT thabetabdeljawad newcontractivemappingsandtheirfixedpointsinbranciarimetricspaces AT mohammadarif newcontractivemappingsandtheirfixedpointsinbranciarimetricspaces |