118614 20230519145430.0 doi 10.1016/j.chaos.2021.111413 sideral 125018 ART-2021-125018 eng Navascués, M.A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 New equilibria of non-autonomous discrete dynamical systems 2021 Access copy available to the general public Unrestricted In the framework of non-autonomous discrete dynamical systems in metric spaces, we propose new equilibrium points, called quasi-fixed points, and prove that they play a role similar to that of fixed points in autonomous discrete dynamical systems. In this way some sufficient conditions for the convergence of iterative schemes of type [fórmula] in metric spaces are presented, where the maps [fórmula] are contractivities with different fixed points. The results include any reordering of the maps, even with repetitions, and forward and backward directions. We also prove generalizations of the Banach fixed point theorems when the self-map is substituted by a sequence of contractivities with different fixed points. The theory presented links the field of dynamical systems with the theory of iterated function systems. We prove that in some cases the set of quasi-fixed points is an invariant fractal set. The hypotheses relax the usual conditions on the underlying space for the existence of invariant sets in countable iterated function systems. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 9.922 2021 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 1 / 108 = 0.009 2021 Q1 T1 PHYSICS, MULTIDISCIPLINARY 7 / 86 = 0.081 2021 Q1 T1 PHYSICS, MATHEMATICAL 1 / 56 = 0.018 2021 Q1 T1 1.647 2021 Applied Mathematics 2021 Q1 Statistical and Nonlinear Physics 2021 Q1 Mathematics (miscellaneous) 2021 Q1 9.9 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 152 (2021), 111413 [8 pp.] Chaos, solitons fractals Chaos, Solitons and Fractals 0960-0779 278466 http://zaguan.unizar.es/record/118614/files/texto_completo.pdf Postprint 1305802 http://zaguan.unizar.es/record/118614/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:118614 articulos driver 2023-05-18-14:17:58 ARTICLE