본문 바로가기
KERD
논문KCI 등재

N-Intuitionistic fuzzy metric spaces and various types of mappings

A. Mohamed Ali
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제2호|pp. 277-287|DOI 10.30948/afmi.2017.13.2.277

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Fixed pointFuzzy metricIntuitionistic fuzzy metricN-intuitionistic fuzzy metric spaceCompatible mapsWeakly compatible mapsSemicompatible maps

초록

In this paper, the concept of $N$-Intuitionistic Fuzzy Metric Space (NIFMS) is introduced and analysed some of their properties. Also defined the various types of mapping over $N$-intuitionistic fuzzy metric spaces illustrated with examples. Moreover the convergence sequence and cauchy sequence of the above concepts are introduced.

Abstract

In this paper, the concept of $N$-Intuitionistic Fuzzy Metric Space (NIFMS) is introduced and analysed some of their properties. Also defined the various types of mapping over $N$-intuitionistic fuzzy metric spaces illustrated with examples. Moreover the convergence sequence and cauchy sequence of the above concepts are introduced.

참고문헌 (28)

  1. C. Alaca, "Fixed points in intuitionistic fuzzy metric spaces", Chaos Solitons Fractals, 29, pp.1073~1078 (2006)
  2. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
  3. M. Abbas, "Common fixed point theorems for non compatible mappings in fuzzy metric spaces", Bull. Math. Anal. Appl, 1(2), pp.47~56 (2009)
  4. C. Alaca, "Common fixed points of compatible maps in intuitionistic fuzzy metric spaces", Southeast Asian Bull. Math, 32(1), pp.21~33 (2008)
  5. M. Grabiec, "Fixed Points in Fuzzy Metric Spaces", Fuzzy Sets and Systems, 27, pp.385~389 (1988)
  6. B. C. Dhage, "Generalized metric spaces and mapping with fixed points", Bull. Calcutta Math. Soc, 84, pp.329~336 (1992)
  7. A. George, "On some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64, pp.395~399 (1994)
  8. V. Gregori, "A note on intuitionistic fuzzy metric spaces", Chaos Solitions and Fractals, 28, pp.902~905 (2006)
  9. V. Gupta, "Some new fixed point results on intuitionistic fuzzy metric spaces", Cogent Math, 3(1), pp.1~12 (2016)
  10. O. Kramosil, "Fuzzy metrics and statistical metric spaces", Kybernetika, 11, pp.326~334 (1975)
  11. S. Kumar, "Common Fixed points for weakly compatible maps in intuitionistic fuzzy metric spaces", Advances in fuzzy Mathematics, 4(1), pp.9~22 (2009)
  12. S. Manro, "Common fixed point theorems for four mappings in intuitionistic fuzzy metric spaces", Int. J. Pure and Applied mathematics, 91(2), pp.253~264 (2014)
  13. S. Manro, "Common fixed point theorems using property (E.A.) and its variants involving quadratic terms,", Ann. Fuzzy Math. Inform, 7(3), pp.473~484 (2014)
  14. Z. Mustafa, "ome remarks concerning D-metric space", International Conference on Fixed Point Theory and Applications, Valencia, pp.189~198 (2003)
  15. Z. Mustafa, "A new approach to generalized metric spaces", J. Nonlinear Convex Anal, 7(2), pp.289~297 (2006)
  16. Neeraj Malviya, "The N-Fuzzy Metric Spaces and Mappings with Application", Fasciculi Mathematici, 55(1), pp.133~151 (2015), Walter de Gruyter GmbH[DOI]
  17. A. Mohamed Ali, "Extended Intuitionistic fuzzy metric and fixed point theorems", International J. of Pure and Engg. Mathematics (IJPEM), 3(II), pp.111~123 (2015)
  18. S. Muralisankar, "Common fixed point theorems in intuitionistic fuzzy metric spaces using new contractive condition of integral ty", Int. J. Contemp. Math. Sci, 4(11), pp.505~518 (2009)
  19. J. H. Park, "Intuitionistic fuzzy metric spaces", Chaos Solitons Fractals, 22(5), pp.1039~1046 (2004)
  20. R. Saadati, "Modified intuitionistic fuzzy metric spaces and some fixed point theorems", Chaos Solitons Fractals, 38, pp.36~47 (2008)
  21. P. L. Sharma, "Contractive type mapping on 2-metric space", Math. Japonica, 21, pp.67~70 (1976)
  22. S. Sedghi, "Fixed point thoerems in M -fuzzy metric spaces with property (E)", Advances in Fuzzy Mathematics, 1(1), pp.55~65 (2006)
  23. S. Sedghi, "A generalization of fixed point theorems in S-metric spaces", Mat. Vesnik, 64(3), pp.258~266 (2012)
  24. S. Sedghi, "A common fixed point theorem in D*-metric spaces", Fixed Point Theory Appl (2007)
  25. B. Singh, "Generalized fuzzy metric spaces and fixed point theorems", Bull, Cal. Math. Soc, 89, pp.457~460 (1997)
  26. G. Sun, "Generalized fuzzy metric spaces with properties", Research journal of Applied Sciences, Engineering and Technology, 2(7), pp.673~678 (2010)
  27. D. Turkoglu, "Common fixed point theorems of compatible maps in intuitionistic fuzzy metric spaces", Southeast Asian Bull. Math, 32(1), pp.21~33 (2008)
  28. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACESCihangir Alaca, Duran Turkoglu, Ishak Altun대한수학회 · 대한수학회논문집2008 · 제23권 제3호Multi-fuzzy sequences in metric spacesHaseena C, Priyanka P, Sabu Sebastian강원경기수학회 · 한국수학논문집2024 · 제32권 제4호RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACESBhavana Deshpande, Rohit Pathak한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호Variants of compatible mappings in fuzzy metric spacesBalbir Singh, Pawan Kumar, Z. K. Ansari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제2호SOME FIXED POINT THEOREM USING COMMON PROPERTY(E.A.) IN INTUITIONISTIC FUZZY METRIC SPACEJong Seo Park한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제3호Common fixed point theorem for multivalued mappings in intuitionistic fuzzy metric spacePrashant Tilwankar, Sushil Sharma영남수학회 · East Asian Mathematical Journal2008 · 제24권 제3호

이 간행물의 다른 논문 (9건)

Soft topological vector spaceS. K. Samanta, Moumita Chineypp. 153-174Finite dimensional intuitionistic fuzzy n-normed linear spacesT. Bagpp. 175-188Representation of labeling tree based on m-polar fuzzy setsMuhammad Akram, Arooj Adeelpp. 189-197r-(i, j)-fuzzy regular semi open sets in smooth bitopological spacesA. Vadivel, E. Elavarasanpp. 199-211Several concepts of continuity in fuzzy m-spaceAnjana Bhattacharyyapp. 213-229
원문 보기