COMMON ATTRACTORS OF GENERALIZED ITERATED FUNCTION SYSTEMS IN GENERALIZED METRIC SPACES

Talat Nazir, Melusi Khumalo, Vuledzani Makhoshi

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we establish a new common fractal with the assistance of a finite family of generalized contractive mappings, which belong to a special dass of mappings defined on a generalized metric space. Consequently, we acquire different results for G-iterated function Systems satisfying a different set of generalized contractive conditions. We present an example to reinforce the results proved herein.

Original languageEnglish
Pages (from-to)2717-2743
Number of pages27
JournalJournal of Nonlinear and Convex Analysis
Volume25
Issue number11
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • attractor
  • contraction
  • fixed point
  • G-metric space
  • Generalized iterated function system

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

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