Fixed Point Theorems of the Iterated Function Systems

Fixed Point Theorems of the Iterated Function Systems

Year:    2016

Author:    Youqing Ji, Zhi Liu, Songli Ri

Communications in Mathematical Research , Vol. 32 (2016), Iss. 2 : pp. 142–150

Abstract

In this paper, we present some fixed point theorems of iterated function systems consisting of $α$-$ψ$-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 generalized metric space, which is also extensively applied in topological dynamic system.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2016.02.07

Communications in Mathematical Research , Vol. 32 (2016), Iss. 2 : pp. 142–150

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    fixed point $α-ψ$-contractive mapping iterated function system generalized metric space.

Author Details

Youqing Ji

Zhi Liu

Songli Ri