Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/8509494 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553761633992704 |
|---|---|
| author | Mujahid Abbas Hira Iqbal Manuel De La Sen |
| author_facet | Mujahid Abbas Hira Iqbal Manuel De La Sen |
| author_sort | Mujahid Abbas |
| collection | DOAJ |
| description | We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results unify, extend, and refine various results in the literature. Some fixed point results for both single and multivalued (θ,ϝ) rational contractions are also obtained in the framework of a space endowed with partial order. As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem. |
| format | Article |
| id | doaj-art-815299a28a1441d28d561d5429ae2186 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-815299a28a1441d28d561d5429ae21862025-02-03T05:53:14ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/85094948509494Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with ApplicationsMujahid Abbas0Hira Iqbal1Manuel De La Sen2Department of Mathematics, Government College University, Lahore 54000, PakistanDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, PakistanInstitute of Research and Development of Processes, University of The Basque Country, Campus of Leioa (Bizkaia), 48080 Leioa, SpainWe present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established. Some examples are presented to support the concepts introduced and the results proved in this paper. These results unify, extend, and refine various results in the literature. Some fixed point results for both single and multivalued (θ,ϝ) rational contractions are also obtained in the framework of a space endowed with partial order. As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem.http://dx.doi.org/10.1155/2019/8509494 |
| spellingShingle | Mujahid Abbas Hira Iqbal Manuel De La Sen Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications Journal of Mathematics |
| title | Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications |
| title_full | Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications |
| title_fullStr | Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications |
| title_full_unstemmed | Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications |
| title_short | Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications |
| title_sort | common fixed points of α η θ ϝ rational contractions with applications |
| url | http://dx.doi.org/10.1155/2019/8509494 |
| work_keys_str_mv | AT mujahidabbas commonfixedpointsofaēthϝrationalcontractionswithapplications AT hiraiqbal commonfixedpointsofaēthϝrationalcontractionswithapplications AT manueldelasen commonfixedpointsofaēthϝrationalcontractionswithapplications |