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Completeness and compactness in fuzzy cone metric spaces

T. Bag|A. Majumder
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제18권 제3호|pp. 297-308|DOI 10.30948/afmi.2019.18.3.297

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참고문헌

키워드

Normal coneα-fuzzy diameterCantor's Intersection Theoremα-fuzzy compact setα-fuzzy totally boundedness

초록

In this paper, some basic results in complete fuzzy cone metric space are studied and Cantor's Intersection Theorem is established in fuzzy setting. On the other hand some results in compact fuzzy cone metric spaces are developed.

Abstract

In this paper, some basic results in complete fuzzy cone metric space are studied and Cantor's Intersection Theorem is established in fuzzy setting. On the other hand some results in compact fuzzy cone metric spaces are developed.

참고문헌 (10)

  1. T. Bag, "Fuzzy Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings", Ann. Fuzzy Math. Inform, 6(3), pp.657~668 (2013)
  2. T. Bag, "Distance in Fuzzy Cone Metric Spaces and Common Fixed Point Theorems", Gen. Math. Notes, 27(1), pp.90~100 (2015)
  3. A. George, "On Some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64, pp.395~399 (1994)
  4. L. Huang, "Cone metric spaces and fixed point theorems of contractive mappings", J. Math. Anal. Appl, 332, pp.1468~1476 (2007)
  5. O. Kaleva, "On fuzzy metric spaces", Fuzzy Sets and Systems, 12, pp.215~229 (1984)
  6. I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.336~344 (1975)
  7. A. Majumder, "Some Results on Fuzzy Cone Metric Spaces", The Journal of Fuzzy Mathematics, 27(1), pp.217~228 (2019)
  8. T. Oner, "Fuzzy cone metric spaces", Journal of Nonlinear Science and Applications, 8(5), pp.610~616 (2015)
  9. Sh. Rezapour, "Some notes on the paper, Cone metric spaces and fixed point theorems of contractive mapping", J. Math. Appl, 345, pp.719~724 (2008)
  10. L.A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)

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