본문 바로가기
KERD
논문KCI 등재

ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACES

Ishak Altun|Cihangir Alaca|Duran Turkoglu
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 427-446

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

common fixed pointintuitionistic fuzzy metric space(β)(I) and (II).
주제분류수학

초록

In this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type (I) and of type (II) in complete intuitionistic fuzzy metric spaces.

Abstract

In this paper, we give some new definitions of compatible mappings in intuitionistic fuzzy metric spaces and we prove a common fixed point theorem for four mappings under the condition of compatible mappings of type (I) and of type (II) in complete intuitionistic fuzzy metric spaces.

참고문헌 (23)

  1. C. Alaca, "Fixed points in intuitionistic fuzzy metric spaces, Chaos", Solitons & Fractals, 29, pp.1073~1078 (2006)
  2. Theorie les operations lineaires, Manograie Mathematyezne Warsaw Poland, "S. Banach", ~ (1932)
  3. Z. K. Deng, "Fuzzy pseudo-metric spaces", J. Math. Anal. Appl, 86, pp.74~95 (1982)
  4. M. Edelstein, "On fixed and periodic points under contractive mappings", J. London Math. Soc, 37, pp.74~79 (1962)
  5. M. A. Erceg, "Metric spaces in fuzzy set theory", J. Math. Anal. Appl, 69, pp.338~353 (1979)
  6. J. X. Fang, "On fixed point theorems in fuzzy metric spaces", Fuzzy Sets and Systems, 46, pp.107~113 (1992)
  7. A. George, "On some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64, pp.395~399 (1994)
  8. M. Grabiec, "Fixed points in fuzzy metric spaces", Fuzzy Sets and Systems, 27, pp.385~389 (1988)
  9. V. Gregori, "A note on intuitionistic fuzzy metric spaces", Chaos Solitons & Fractals, 28, pp.902~905 (2006)
  10. G. Jungck, "Commuting mappings and fixed points", Amer. Math. Monthly, 83, pp.261~263 (1976)
  11. O. Kaleva, "On fuzzy metric spaces", Fuzzy Sets and Systems, 12, pp.215~229 (1984)
  12. I. Kramosil, "Fuzzy metric and Statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  13. R. Lowen, "Fuzzy Set Theory" (1996), Kluwer Academic Pub
  14. D. Mihet, "On fuzzy contractive mappings in fuzzy metric spaces", Fuzzy Sets and Systems, 158, pp.915~921 (2007)
  15. R. P. Pant, "Common fixed points of noncommuting mappings", J. Math. Anal. Appl, 188, pp.436~440 (1994)
  16. J. H. Park, "Intuitionistic fuzzy metric spaces", Chaos Solitons & Fractals, 22, pp.1039~1046 (2004)
  17. J. S. Park, "A fixed point theorem in the intuitionistic fuzzy metric spaces", Far East J. Math. Sci, 16, pp.137~149 (2005)
  18. R. Saadati, "On the intuitionistic fuzzy topological spaces", Chaos Solitons & Fractals, 27, pp.331~344 (2006)
  19. B. Schweizer, "Statistical metric spaces", Pacific J. Math, 10, pp.314~334 (1960)
  20. D. Turkoglu, "Common fixed point theorems in intuitionistic fuzzy metric spaces", Journal of Applied Mathematics and Informatics, 22(1-2), pp.411~424 (2006), 한국전산응용수학회
  21. D. Turkoglu, "Compatible maps and compatible maps of types (α) and (β) in intuitionistic fuzzy metric spaces", Demonstratio Math, 39, pp.671~684 (2006)
  22. D. Turkoglu, "Common fixed points of compatible mappings of type (I) and (II) in fuzzy metric spaces", J. Fuzzy Math, 15, pp.435~448 (2007)
  23. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

관련 논문AI추천

Compatible mappings of type (I) and (II) on intuitionistic fuzzy metric spaces in consideration of common fixed pointBhavana Deshpande, Sushil Sharma대한수학회 · 대한수학회논문집2009 · 제24권 제2호SOME COMMON FIXED POINT THEOREMS USING COMPATIBLE MAPS OF TYPE(α) ON INTUITIONISTIC FUZZY METRIC SPACE박종서한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호COMMON FIXED POINT THEOREM OF SEMI-COMPATIBLE MAPS ON INTUITIONISTIC FUZZY METRIC SPACE박종서대한수학회 · 대한수학회논문집2010 · 제25권 제1호Variants of compatible mappings in fuzzy metric spacesBalbir Singh, Pawan Kumar, Z. K. Ansari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2018 · 제15권 제2호RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACESBhavana Deshpande, Rohit Pathak한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호Common fixed point of compatible maps of type $(\gamma)$ on complete fuzzy metric spacesDuran Turkoglu, Nabi Shobe, Shaban Sedghi대한수학회 · 대한수학회논문집2009 · 제24권 제4호

이 간행물의 다른 논문 (15건)

Remarks on some combinatorial determinants정상태pp. 307-312Soft WS-algebras전영배, 박철환, Mehmet Ali Ozturkpp. 313-324Weakly prime left ideals in near-subtraction semigroupsG. Satheesh Kumar, P. Dheenapp. 325-331On weak Armendariz idealsEbrahim Hashemipp. 333-342TETRAGONAL MODULAR CURVES X₁(M,N)전대열pp. 343-348
원문 보기