Abstract
In recent years, Lipschitz-type functions have been studied in an extensive manner. Particularly, we have locally Lipschitz functions, uniformly locally Lipschitz functions and Lipschitz in the small functions, etc. To answer some questions related to upper semicontinuity, recently in 2019, a new class of functions, called split continuous, is defined which is weaker than that of continuous functions. In this article, we define ‘split’ versions of Lipschitz-type functions. Various interesting properties of these functions are also investigated.
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