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We introduce and investigate a new class of functions called almost strongly θ-e-continuous functions, containing the classes of almost strongly θ-precontinuous [

The main goal of this paper is to introduce and investigate a new class of functions called almost e * -continuous functions containing the class of almost e-continuous functions defined byÖzkoç and Kına. Several characterizations concerning almost e * -continuous functions are obtained. Furthermore, we investigate the relationships between almost e * -continuous functions and separation axioms and almost e * -closedness of graphs of functions. c 2016 all rights reserved.

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