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The theory of iterated function systems (IFSs) has been an active area of research on fractals and various types of self-similarity in nature. The basic theoretical work on IFSs has been proposed by Hutchinson. In this paper, we introduce a new generalization of Hutchinson IFS, namely generalized θ-contraction IFS, which is a finite collection of generalized θ-contraction functions T1,...,TN from finite Cartesian product space X×⋯×X into X, where (X,d) is a complete metric space. We prove thedoi:10.3390/fractalfract5030069 fatcat:neljceq7djgdjnwr6qi4caueua