Abstract
This paper introduces a new class of functions called $\delta(\tau_{1},\tau_{2})$-continuous functions. Several characterizations of $\delta(\tau_{1},\tau_{2})$-continuous functions are investigated. The relationships between $\delta(\tau_{1},\tau_{2})$-continuity and the other types of $\delta(\tau_{1},\tau_{2})$-continuity are also discussed.
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