Fractals of Generalized $\Theta$-Hutchinson Operator

Document Type : Research Paper

Authors

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

10.22075/ijnaa.2019.3675

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

International Journal of Nonlinear Analysis and Applications

Articles in Press, Accepted Manuscript
Available Online from 12 March 2019

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