Fractals of generalized $\Theta $-Hutchinson operator

نویسندگان

1 Department of Mathematics, National Technical University of Athens, Greece

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

3 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

doi
10.22075/ijnaa.2019.3675
چکیده

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.