The theory of iterated function systems (IFS) on complete metric spaces appears in almost all fractal based algorithms used for the purpose of compression of the images and their representation as well. Through a simple mathematical model, IFS technique provides an important tool for description and manipulation of the complex fractal attractors. In this paper we study the iterated function sys...

In this paper, we improve some recent coupled fixed point resultsfor single-valued operators in the framework of ordered $b$-metricspaces established by Bota et al. [M-F. Bota, A. Petrusel, G.Petrusel and B. Samet, Coupled fixed point theorems forsingle-valued operators in b-metric spaces, Fixed Point TheoryAppl. (2015) 2015:231]. Also, we prove that Perov-type fix...

in this paper, we prove some common fi xed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

In this paper we obtain a unique common xed point theorem for sixweakly compatible mappings in G-metric spaces.

In this paper, we prove some common fixed point results for two self mappingsf and g on S-metric space such that f is a g.w.c.m with respect to g.