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Prasannan, A.R.,Aggarwal, Jeetendra,Das, A.K.,Biswas, Jayanta The Honam Mathematical Society 2017 호남수학학술지 Vol.39 No.4
A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].
( A. R. Prasannan ),( Jeetendra Aggarwal ),( A. K. Das ),( Jayanta Biswas ) 호남수학회 2017 호남수학학술지 Vol.39 No.4
A new class of functions called R<sub>θ</sub>-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of R<sub>θ</sub>-supercontinuous functions properly contains the class of R<sub>z</sub>-supercontinuous functions [39] which in turn properly contains the class of R<sub>cl</sub>-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of R<sub>δ</sub>-supercontinuous functions [24].
A.R. Prasannan,Jeetendra Aggarwal,A.K. Das,Jayanta Biswas 호남수학회 2017 호남수학학술지 Vol.39 No.4
A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_{z}$-supercontinuous functions \cite{refjdb1} which in turn properly contains the class of $R_{\emph{cl}}$-supercontinuous functions \cite{reftks1} and so includes all \emph{cl}-supercontinuous (clopen continuous) functions (\cite{refds2}, \cite{refrv1}) and is properly contained in the class of $R_{\delta}$-supercontinuous functions \cite{refjdj3}.
New separation axioms in soft topological space
A.R. Prasannan,Jayanta Biswas 원광대학교 기초자연과학연구소 2019 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.18 No.1
The more general form of soft separation axioms are defined in soft topological spaces and its interrelationship with existing soft separation axioms are studied. It was interesting to go through separation axiom as in [23] shown that there are limited relation between $T_i$ axioms (i = 0,1,2,3). In this paper, it is shown that these axioms are stronger than the existing separation axioms in soft topological spaces.