Existence of a fractal of iterated function systems via the degree of weak nondensifiability
Fixed Point Methods and Optimization, Volume 3, Issue 2, August 2026, Pages 130–137
ESKANDAR NARAGHIRAD
Department of Mathematics, Faculty of Sciences, Yasouj University, Yasouj 75918, Iran
Abstract
In this paper, without using the Banach contraction principle or Shchuader fixed point theorem, we present the existence of a fractal for iterated weakly condensing mappings by employing the degree of weak nondensifiability in general Banach spaces. As an extension of Hutchinson fractal set, our results improve and extend many other known results in the current literature.
Cite this Article as
Eskandar Naraghirad, Existence of a fractal of iterated function systems via the degree of weak nondensifiability, Fixed Point Methods and Optimization, 3(2), 130–137, 2026