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EnglishWe consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature. In particular, we refer to the results of Sintunavarat et al. [W. Sintunavarat, Y.J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Comput. Math. Appl. 62 (2011) 1969-1978]. Some examples and an application to nonlinear fourth-order differential equation are given to support the theory.
| Data di pubblicazione: | 2019 |
| Titolo: | Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation |
| Autori: | |
| Citazione: | Rad, G.S., Rahimi, H., & Vetro, C. (2019). Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation. FIXED POINT THEORY, 20(2), 635-648. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.24193/fpt-ro.2019.2.42 |
| Abstract: | We consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature. In particular, we refer to the results of Sintunavarat et al. [W. Sintunavarat, Y.J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Comput. Math. Appl. 62 (2011) 1969-1978]. Some examples and an application to nonlinear fourth-order differential equation are given to support the theory. |
| URL: | http://math.ubbcluj.ro/~nodeacj/volumes/2019-No2/192-rad-rah-vet-1943-final_CORECTAT.php |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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