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arXiv · 1905.03653

Common Fixed Point results in Complex valued metric spaces via simulation functions

Anuradha Gupta·Manu Rohilla
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Abstract

In this paper, the notion of $\mathbb{C}$-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via $\mathbb{C}$-simulation functions are studied. Examples are also provided to demonstrate the results. The existence and uniqueness of a first-order periodic differential equation is also obtained as an application of the result.

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Anuradha Gupta, Manu Rohilla. 2019-05-09. Common Fixed Point results in Complex valued metric spaces via simulation functions. https://arxiv.org/abs/1905.03653

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