Abstract
The aim of the present chapter is to study the dynamics of a class of non-linear mappings defined on the set of non-negative real numbers. We show that this class of mappings contains chaotic mappings and exhibits the phenomenon of bifurcation. We also generalize the scope of multiple-lowering mappings by further extending the domain of their definition from the set of non-negative real numbers to the set of polynomials over the set of real numbers.
| Original language | English |
|---|---|
| Title of host publication | Recent Advances in Fixed Point Theory and Applications |
| Publisher | Nova Science Publishers, Inc. |
| Pages | 299-308 |
| Number of pages | 10 |
| ISBN (Electronic) | 9781536121049 |
| ISBN (Print) | 9781536120851 |
| Publication status | Published - 1 Jan 2017 |
| Externally published | Yes |
Keywords
- Bifurcation
- Chaos
- Forward asymptotic
- Multiple-lowering mapping
- Periodic
- Points
ASJC Scopus subject areas
- General Mathematics