Document Type : Research Paper

Authors

• Jamshaid Ahmad ¹
• Abdullah Eqal Al-Mazrooei ²
• Themistocles M. Rassias ³

¹ Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia

² Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

³ Department of Mathematics, National Technical University of Athens, Greece

Abstract

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.

Keywords

• Fixed point
• $Theta$-Hutchinson Operator
• metric space