A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces

Abstract The aim of this paper is to develop a differential calculus for functions with values in a quasilinear metric space. Using only the metric on a quasilinear metric space and without using the Hukuhara difference, a new concept of derivative is introduced for functions with values in a quasilinear metric space. This new derivative concept generalizes known concepts of derivatives for set-valued and fuzzy value functions.

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