Abstract
We generate a fractal using a finite collection of generalized cyclic contraction mappings, belonging to a particular category of mappings defined on a partial metric space. As a consequence, different results are attained for iterated function system that satisfy a different set of generalized cyclic contraction conditions. To substantiate the proven results, an example together with some applications are presented. With these results, we extend, unify and generalize some common results in contemporary literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1977-1996 |
| Number of pages | 20 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 24 |
| Issue number | 9 |
| Publication status | Published - 2023 |
| Externally published | Yes |
Keywords
- Iterated function system
- attractor
- cyclic contraction
- fixed point
- partial metric space
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics