ON THE DYNAMICS OF ZADEH EXTENSIONS AND SET-VALUED INDUCED MAPS Page No: 3673-3679

Anwar A. Al-Badarneh

Keywords: Bi-shadowing, Limit Bi-Shadowing Property, Zadeh Extension, Fuzzy Dynamical System

Abstract: In this paper, we consider discrete time dynamical system generated by a continuous mapping f defined in a metric space X along with the induced set-valued mapping and the fuzzified Zadeh extension . We study the asymptotic behaviour of these systems using the concept of bi-shadowing and the limit bi-shadowing property. 2010 AMS Mathematics Subject Classification: 37C50, 47H04



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