Volume 32, Issue 2
Fixed Point Theorems of the Iterated Function Systems

Youqing Ji, Zhi Liu & Songli Ri

Commun. Math. Res., 32 (2016), pp. 142-150.

Published online: 2021-03

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  • 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.

  • Keywords

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

  • AMS Subject Headings

47H10, 54H25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-32-142, author = {Ji , Youqing and Liu , Zhi and Ri , Songli}, title = {Fixed Point Theorems of the Iterated Function Systems}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.02.07}, url = {http://global-sci.org/intro/article_detail/cmr/18676.html} }
TY - JOUR T1 - Fixed Point Theorems of the Iterated Function Systems AU - Ji , Youqing AU - Liu , Zhi AU - Ri , Songli JO - Communications in Mathematical Research VL - 2 SP - 142 EP - 150 PY - 2021 DA - 2021/03 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.02.07 UR - https://global-sci.org/intro/article_detail/cmr/18676.html KW - fixed point, $α-ψ$-contractive mapping, iterated function system, generalized metric space. AB -

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.

Youqing Ji, Zhi Liu & Songli Ri. (2021). Fixed Point Theorems of the Iterated Function Systems. Communications in Mathematical Research . 32 (2). 142-150. doi:10.13447/j.1674-5647.2016.02.07
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