Iterated function system in ∅- Metric Spaces

Fractals have gained great attention from researchers due to their wide applications in engineering and applied sciences. Especially, several topics of sciences, the iterated function systems theory has important roles. As is well known, examples fractals are derived fixed point for suitable operators spaces with complete or compact structures. In this article, a new generalization Hausdorff distance on , class all nonempty subsets metric space ( ). Completeness compactness analogously obtained its counterparts Furthermore, fractal presented under finite set generalized -contraction mappings. Also, other special cases presented.