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- J. K. Kohli, A. R. Prasannan
- Fuzzy Sets and Systems
- 2000

Generalizations of normality, called (weakly) (functionally) θ-normal spaces, are introduced and studied. This leads to decompositions of normality. It turns out that every paracompact space is θ-normal. Moreover, every Lindelöf space as well as every almost compact space is weakly θ-normal. Preservation of θ-normality and its variants under mappings is… (More)

- J. K. Kohli
- 2010

In the class of p-spaces it is shown that (a) infinite weight is not lowered by finite-to-one maps which are open except at finitely many points, (b) metrizability is inversely preserved under finiteto-one maps which are open except at finitely many points. Proizvolov [6] showed that if the domain is a p-space, then weight' is not lowered by open… (More)

- J. K. Kohli, Durgesh Kumar
- 2009

The purpose of the present paper is to prove a general common fixed point theorem for six mappings via weakly compatible mappings in symmetric spaces satisfying integral type implicit relations. This generalizes and improves several known results published in the literature including those of Pathak et al. (Applied Math. E-notes 7 (2007), 222-228), Popa… (More)

The aim of the present paper is to prove a common fixed point theorem for six mappings via pointwise R-weakly commuting mappings in probabilistic metric spaces satisfying contractive type implicit relations. This generalizes several known results in the literature including those of Kumar and Pant (Filomat 22:2 (2008), 43-52), Kumar and Chugh (Sci. Math.… (More)

We introduce four notior,ls of co~ectedness for an arbitrary fuzzy set and discuss all the implications tha, ,~xist betweer.~ them. L:~ing these notions, ,,ari, ms equivalence relations are defined on the set of fuzzy poll,is. Compor ~n~s and quasi-components are f~r,ned as the union of certain equivalence classes. A fu ry sp_~:, is shown to be a disjoint… (More)

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