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Fixed Point Theorems of the Iterated Function Systems
Authors:Youqing Ji  Zhi Liu & Songli Ri
Institution:1. School of Mathematics, Jilin University, Changchun, 130012;2. Department of Mathematics, University of Science, Pyongyang, D.P.R. of Korea
Abstract:In this paper, we present some fixed point theorems of iterated function systems consisting ofα-ψ-contractive type mappings in Fractal space constituted by the compact subset of metric space and iterated function systems consisting of Banach contractive mappings in Fractal space constituted by the compact subset of general-ized metric space, which is also extensively applied in topological dynamic system.
Keywords:fixed point  α-ψ-contractive mapping  iterated function system  gener-alized metric space
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