Common Attractors for Generalized <i>F</i>-Iterated Function Systems in <i>G</i>-Metric Spaces

Abstract

In this paper, we study the generalized F-iterated function system in G-metric space. Several results of common attractors of generalized iterated function systems obtained by using generalized F-Hutchinson operators are also established. We prove that the triplet of F-Hutchinson operators defined for a finite number of general contractive mappings on a complete G-metric space is itself a generalized F-contraction mapping on a space of compact sets. We also present several examples in 2-D and 3-D for our results.

Keywords

• common attractor
• <i>F</i>-Hutchinson operator
• <i>F</i>-iterated function system
• <i>G</i>-metric space
• common fixed point