Iterated Function System Consisting of Kannan Contraction in Complete - Metric Space
Main Article Content
Abstract
The present study is to originate theKannan Iterated Function System in complete -metric space and we demonstrate several uniqueness and existence of theattractor. Our results deduce and expand several modern consequence correlated with Hutchinson-Barnsley operator and KIFS in complete -metric space. To obtain our result we using some basic concepts and properties given in the literature. As an application, we formulate Collage theorem for KIFS in complete -metric spacewhich can be used to solve inverse problems of reconstruction the fractal objects. We also discuss well-posednessfor Kannan mapping in complete -metric spacewith illustrative example.
Article Details
Issue
Section
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.