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.

Rad, G.S., Rahimi, H., Vetro, C. (2020). Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation. FIXED POINT THEORY, 20(1), 635-648 [10.24193/fpt-ro.2019.2.42].

Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation

Vetro, Calogero
2020-01-01

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.
Settore MAT/05 - Analisi Matematica
Rad, G.S., Rahimi, H., Vetro, C. (2020). Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation. FIXED POINT THEORY, 20(1), 635-648 [10.24193/fpt-ro.2019.2.42].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/401405
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