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

2019/05/09 by Gupta, Anuradha, Rohilla, Manu
#54C30 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 54H25 #Secondary 47H10

paper · doi:10.48550/arxiv.1905.03653

Abstract

In this paper, the notion of 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 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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