PPF-dependent fixed point results for multi-valued ? F-contractions in Banach Spaces and Applications
| Author | Jaradat M.M.M. |
| Author | Mohammadi B. |
| Author | Parvaneh V. |
| Author | Aydi H. |
| Author | Mustafa Z. |
| Available date | 2020-04-05T10:53:20Z |
| Publication Date | 2019 |
| Publication Name | Symmetry |
| Resource | Scopus |
| ISSN | 20738994 |
| Abstract | The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f (x) = x. One of such examples is that of the famous Borsuk-Ulam theorem, in which using some fixed point argument, it can be guaranteed that at any given time we can find two diametrically opposite places in a planet with same temperature. Thus, the correlation of symmetry is inherent in the study of fixed point theory. In this paper, we initiate ? F-contractions and study the existence of PPF-dependent fixed points (fixed points for mappings having variant domains and ranges) for these related mappings in the Razumikhin class. Our theorems extend and improve the results of Hammad and De La Sen [Mathematics, 2019, 7, 52]. As applications of our PPF dependent fixed point results, we study the existence of solutions for delay differential equations (DDEs) which have numerous applications in population dynamics, bioscience problems and control engineering. - 2019 by the authors. |
| Sponsor | The publication of this article was funded by the Qatar National Library. The authors are highly appreciated the referees and editor efforts of this paper who helped us to improve it in several places. The publication of this article was funded by the Qatar National Library. |
| Language | en |
| Publisher | MDPI AG |
| Subject | Banach space PPF-dependent fixed point The Razumikhin class ϕ-F-contractions |
| Type | Article |
| Issue Number | 11 |
| Volume Number | 11 |
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Mathematics, Statistics & Physics [666 items ]