Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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WEAK SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Published : 2004.01.01
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Abstract

In [3] and [6] the concepts of smooth closure, smooth interior, smooth ${\alpha}-closure$ and smooth ${\alpha}-interior$ of a fuzzy set were introduced and some of their properties were obtained. In this paper, we introduce the concepts of several types of weak smooth compactness and weak smooth ${\alpha}-compactness$ in terms of these concepts introduced in [3] and [61 and investigate some of their properties.

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References

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Cited by

  1. Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces vol.33, pp.2, 1996, https://doi.org/10.1007/BF02093505
  2. Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces vol.79, pp.2, 1996, https://doi.org/10.1016/0165-0114(95)00084-4
  3. Coincidence point theorems in generating spaces of quasi-metric family vol.116, pp.3, 2000, https://doi.org/10.1016/S0165-0114(98)00469-2
  4. Ekeland's variational principle and Caristi's coincidence theorem for set-valued mappings in probabilistic metric spaces vol.14, pp.7, 1993, https://doi.org/10.1007/BF02455381