Azam et al. (Numer Funct Anal Optim, 32(3):243–253, 2011) introduced a notion
of complex valued metric space and obtained common fixed point result for mappings in
such spaces. In this paper, introducing the concept of complex valued generalized metric
spaces, some fixed and common fixed point results are obtained. As an application, periodic
point property of common fixed point problem for two rational type contractive mappings
involved therein is established.

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• Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces