논문KCI 등재
Compatible mappings of type (I) and (II) on intuitionistic fuzzy metric spaces in consideration of common fixed point
대한수학회 (The Korean Mathematical Society)|2009.04|대한수학회논문집 (Communications of the KMS)|제24권 제2호|pp. 197-214
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In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe[4].
Abstract
In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe[4].
참고문헌 (31)
- C. Alaca, "Fixed points in intuitionistic fuzzy metric spaces", Chaos, Solitons and Frectals, 29, pp.1073~1078 (2006)
- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
- S. Banach, "Theoriles operations Linearies Manograie Mathematyezne", Warsaw
- Y. J. Cho, "Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces", Chaos Solitons and Fractals
- D. Dubois, "Fuzzy Sets: theory and applications to policy analysis and informations systems" (1980), Plnum Press
- M. Edelstein, "On fixed and periodic points under contractive mappings", J. London Math. Soc., 37, pp.74~79 (1962)
- MS. El Naschie, "On the uncertainty of cantorian geometry and two-slit experiment, Chaos", Solitons and Fractals, 9, pp.517~529 (1998)
- MS. El Naschie, "On the verification of heterotic strings theory and e(∞) theory", Chaos, Solitons and Fractals, 11, pp.2397~2408 (2000)
- MS. El Naschie, "The two slit experiment as the foundation of E-infinity of high energy physics", Chaos, Solitions and Fractals, 25, pp.509~514 (2005)
- MS. El Naschie, "‘tHooft ultimate building blocks and space-time an infinite dimensional set of transfinite discrete points", Chaos, Solitons and Fractals, 25, pp.521~524 (2005)
- A. George, "On some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64, pp.395~399 (1994)
- M. Grabiec, "Fixed points in fuzzy metric spaces", Fuzzy Sets and System, 27, pp.385~389 (1988)
- V. Gregory, "A note on intuitionistic fuzzy metric spaces", Chaos, Solitions and Fractals, 28, pp.902~905 (2006)
- G. Jungck, "Commuting maps and fixed points", Amer Math Monthly, 83, pp.261~263 (1976)
- G. Jungck, "Compatible mappings and common fixed point", Int. J. Math. Math. Sci., 9, pp.771~779 (1986)
- G. Jungck, "Compatible mappings of type (A) and common fixed points", Math. Jponica, 38, pp.381~390 (1993)
- E. P. Klement, "Operations on fuzzy sets an axiomatic approach", Information Science, 27, pp.221~232 (1984)
- E. P. Klement, "Triangular Norm", Trends in logic, 8 (2000), Kluwer Academic Pub.
- O. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
- R. Lowen, "Fuzzy Set Theory" (1996), Kluwer, Academic Pub.
- K. Menger, "Statistical metric", Proc. Nat. Acad. Sci., 28, pp.535~537 (1942)
- J. H. Park, "Intuitionistic fuzzy metric spaces", Chaos, Solitions and Fractals, 22, pp.1039~1046 (2004)
- H. K. Pathak, "Compatible mappings of type (P) and fixed point theorems in metric spaces and probabilistic metric spaces", Novi Sad J. Math., 26, pp.87~109 (1996)
- H. K. Pathak, "Common fixed point theorems with applications to nonlinear integral equation", Demonstratio Math, 32, pp.517~564 (1999)
- J. L. Rodriguez, "The Hausdorff fuzzy metric on compact sets", Fuzzy Set System, 147, pp.273~283 (2004)
- R. Sadati, "On the intuitionistic topological spaces", Chaos, Solutions and Fractals, 27, pp.331~344 (2006)
- B. Schweizer, "Statistical metric spaces", Pacific J Math., 10, pp.314~334 (1960)
- S. Sessa, "On some weak commutativity condition of mappings in fixed point consideration", Publ. Inst. Math. (Beograd), 32, pp.149~153 (1982)
- S. Sharma, "Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces", Chaos Solitons and Fractals
- 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
- R. R. Yager, "On a class of weak triangular norm operators", Information Sciences, 96(1), pp.47~78 (1997)
관련 논문AI추천
ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACESCihangir Alaca, Duran Turkoglu, Ishak Altun대한수학회 · 대한수학회논문집2008 · 제23권 제3호COMMON FIXED POINT THEOREM OF SEMI-COMPATIBLE MAPS ON INTUITIONISTIC FUZZY METRIC SPACE박종서대한수학회 · 대한수학회논문집2010 · 제25권 제1호SOME COMMON FIXED POINT THEOREMS USING COMPATIBLE MAPS OF TYPE(α) ON INTUITIONISTIC FUZZY METRIC SPACE박종서한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호Variants 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 제3호RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACESBhavana Deshpande, Rohit Pathak한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호
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