An Iterated Function System for A-contraction mapping
Main Article Content
Abstract
Fractals play main role in dynamical systems, quantum mechanics, biology, computer graphics, geophysics, astrophysics and astronomy etc. The Iterated Function Systems (IFS) is an emerging scheme provides an important implement to mathematicians for manipulation and description of the attractors applying common mathematical algorithms. The intension of the present study is to originate the novel IFS expressly “A-Iterated Function System” either “AIFS” defined on a complete metric space using a unique class of contraction maps known as A-contractions; that was studied by various mathematicians. This study proves the uniqueness and existence of the attractor for AIFS. The analysis also establishes the Collage theorem for AIFS. To obtain our outcomes we utilizing some basic ideas and speculations given in the literature. Our outcomes extend, unify and generalize numerous consequences present in the literature.
Downloads
Metrics
Article Details
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
