Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Unified Theory for Certain Weak Forms of Open Sets and Their Variant Forms

  • Roy, Bishwambhar (Department of Mathematics, Women's Christian College) ;
  • Seny, Ritu (Department of Mathematics, S. A. Jaipuria College)
  • Received : 2011.03.07
  • Accepted : 2012.06.04
  • Published : 2012.12.23
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Abstract

The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by $\acute{A}$. Cs$\acute{a}$sz$\acute{a}$r, we introduce unified definitions of ${\wedge}_{\psi}$-sets, ${\vee}_{\psi}$-sets, $g{\cdot}{\wedge}_{\psi}$-sets and $g{\cdot}{\vee}_{\psi}$-sets and derive results concerning them.

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References

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