A CRITICAL REMARK ON SUBSEQUENTIAL CONTINUITY

Jong Kyu Kim, Ravindra K. Bisht

Abstract


Recent results due to various authors (Chauhan et al.; Journal of Applied Math-ematics (2013), Beg and Chauhan; Novi Sad J. Math. (2013), Pant et al.; Advances in Fuzzy Systems (2013), Chauhan et al.; Vietnam Journal of Mathematics (2013), Rouzkard et al.;Bull. Belg. Math. Soc. Simon Stevin (2012), Imdad et al.; Appl. Math. Lett. (2011), Gopal and Imdad; Ann Univ Ferrara (2011) etc.) have been proved under the presumptionthat subsequential continuity is the generalization of continuity or reciprocal continuity. In this short note we communicate some important remarks about the concept of subsequential continuity and show that subsequential continuity is independent of the notion of continuityor reciprocal continuity.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)