2023
DOI: 10.15388/namc.2024.29.33534
|View full text |Cite
|
Sign up to set email alerts
|

Fixed points of generalized cyclic contractions without continuity and application to fractal generation

Subhadip Roy,
Parbati Saha,
Sumon Ghosh
et al.

Abstract: In this paper, we define a generalized cyclic contraction and prove a unique fixed point theorem for these contractions. An illustrative example is given, which shows that these contraction mappings may admit the discontinuities and also that an existing result in the literature is effectively generalized by the theorem. We apply the fixed point result for generation of fractal sets through construction of an iterated function system and the corresponding Hutchinsion–Barnsley operator. The above construction i… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 28 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?