Beta-Closed Spaces and (Beta-Theta) Subclosed graphs

Chanchal Kumar Basu, Manob Kumar Ghosh


The purpose of this paper is to achieve various characterizations of  β-closed spaces [2], specially, in terms of new types of graphs under the terminology β-Θ-subclosed graphs of functions and in terms of a generalized complete accumulation point. Apart from several properties, a sufficient condition for common fixed points of a family of functions having β-Θ -subclosed graphs is also given.


beta -open set, beta -closure, beta -closed space, beta -regular sets, (Beta-Theta) -closed sets

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