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Variants of compatible mappings in fuzzy metric spaces

Pawan Kumar|Balbir Singh|Z. K. Ansari
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제15권 제2호|pp. 169-180|DOI 10.30948/afmi.2018.15.2.169

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키워드

Compatible mappingsFuzzy metric spaceCompatible mappings of type (R)type (K)type (E)

초록

In this paper, we introduce the notions of compatible mappings of type(R), type (K) and type (E) in Fuzzy metric spaces and prove some common fixed point theorems for these mappings.In fact, we call these maps as variants of compatible mappings.

Abstract

In this paper, we introduce the notions of compatible mappings of type(R), type (K) and type (E) in Fuzzy metric spaces and prove some common fixed point theorems for these mappings.In fact, we call these maps as variants of compatible mappings.

참고문헌 (20)

  1. V. Deng, "Fuzzy pseudo-metric space", J. Math. Anal. Appl., 86(1), pp.74~95 (1982)[DOI]
  2. M. A. Erceg, "Metric spaces in fuzzy set theory", J. Math. Anal. Appl., 69, pp.205~230 (1979)[DOI]
  3. M. Grabiec, "Fixed points in fuzzy metric spaces", Fuzzy sets and systems, 27, pp.385~3879 (1988)[DOI]
  4. A. George, "on some results in fuzzy metric space", Fuzzy Sets and Systems, 64, pp.395~399 (1994)[DOI]
  5. K. Jha, "Common fixed points theorem for compatible of type (K) in metric space", Int. J. Math. Sci. Eng. Appl., 89, pp.383~391 (2014)
  6. G. Jungck, "Commuting mappings and fixed points", Amer. Math. Mon., 83, pp.261~263 (1976)[DOI]
  7. G. Jungck, "Compatible mappings and common fixed points", International Journal of Mathematics and Mathematical Sciences, 9(4), pp.771~779 (1986)[DOI]
  8. G. Jungck, "Common fixed points for non-continuous non-self maps on non-metric Spaces", Far East Journal of Mathematical Sciences, 4(2), pp.199~212 (1996)
  9. O. Kaleva, "on fuzzy metric spaces", Fuzzy Sets and Systems, 12, pp.215~229 (1984)[DOI]
  10. I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetika, 11(5), pp.336~344 (1975)
  11. S. N. Mishra, "Common fixed points of maps in fuzzy metric spaces", Int. J. Math. Sci., 17, pp.253~258 (1994)[DOI]
  12. R. P. Pant, "Common fixed points of non-commuting mappings", J. Math. Anal.Appl., 188(2), pp.436~440 (1994)[DOI]
  13. R. P. Pant, "A common fixed point theorem under a new condition", Indian Journal of Pure and applied Mathematics, 30, pp.147~152 (1999)
  14. R. P. Pant, "Weak reciprocal continuity and fixed point theorems", Ann. Univ. Ferrara., 57(1), pp.181~190 (2011)[DOI]
  15. Y. Rohan, "Common fixed points of compatible mapping of type (C) in Banach Spaces", Proc. Math. Soc., 20, pp.77~87 (2004)
  16. S. Sessa, "On a weak commutativity condition of mappings in fixed point Considerations, Publications DE LOCOInstitut Mathematique", Nouvelle Serie Tome, 32(46), pp.149~153 (1982)
  17. M. R. Singh, "Compatible mappings of type (E) and common fixed point theorems of Meir-Keeler type", Int. J. Math. Sci. Eng. Appl., 19, pp.299~315 (2007)
  18. P. V. Subrahmanyam, "Common fixed point theorem in fuzzy metric spaces", Inform. Sci., 83(3-4), pp.109~112 (1995)[DOI]
  19. R. Vasuki, "Common fixed points for R-weakly commuting maps in fuzzy metric spaces", Indian J. Pure and Appl. Math., 30, pp.419~423 (1999)
  20. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)[DOI]

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