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

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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… Click to show full 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 cdistance 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.

Keywords: generalized distance; point results; point; application nonlinear; nonlinear fourth; fixed point

Journal Title: Fixed Point Theory
Year Published: 2019

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