Fractals of Generalized $\Theta$-Hutchinson Operator

Document Type : Research Paper


1 University of Jeddah

2 Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia

3 Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece



The aim of this paper is to construct a fractal of generalized $\Theta$-Hutchinson Operator with the help of a finite family of $\Theta$-contraction mappings, a class of mappings more general than contractions, defined on a complete metric space. Our results unify, generalize and extend various results in the existing literature.