English

Generalized Iterated Function System and Common Attractors of Generalized Hutchinson Operators in Dislocated Metric Spaces

Dynamical Systems 2023-06-02 v1

Abstract

In this paper, we present the generalized iterated function system for constructing of common fractals of generalized contractive mappings in the setup of dislocated metric spaces. The well-posedness of attractors based problems of rational contraction maps in the framework of dislocated metric spaces is also established. Moreover, the generalized collage theorem is also established in dislocated metric spaces.

Keywords

Cite

@article{arxiv.2306.00729,
  title  = {Generalized Iterated Function System and Common Attractors of Generalized Hutchinson Operators in Dislocated Metric Spaces},
  author = {Talat Nazir and Sergei Silvestrov},
  journal= {arXiv preprint arXiv:2306.00729},
  year   = {2023}
}