논문KCI 등재
COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS
한국수학교육학회|2013.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제20권 제3호|pp. 159-180
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초록
We establish a common fixed point theorem for mappings under ∅-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.
Abstract
We establish a common fixed point theorem for mappings under ∅-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.
참고문헌 (16)
- C. Alaca, "Fixed point in intuitionistic fuzzy metric spaces", Chaos Solitons and Fractals, 29(5), pp.1073~1078 (2006)
- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy sets and systems, 20, pp.87~96 (1986)
- K. Atanassov, "Central Sci. and Technol Library" (1984), Bulgarian Academy of Sciences
- T.G. Bhaskarv, "Fixed point theorems in partially ordered metric spaces and applications", Nonlinear Anal, 65(7), pp.1379~1393 (2006)
- J.X. Fang, "Common fixed point theorems of compatible and weakly compatible maps in Menger spaces", Nonlinear Analysis. Theory, Methods and Applications, 71(5-6), pp.1833~1843 (2009)
- A. George, "On some results in fuzzy metric spaces", Fuzzy Sets and Systems, 64, pp.395~399 (1994)
- O. Hadzic, "Fixed Point Theory in Probabilistic Metric Spaces" (2001), Kluwer Academic
- I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetika, 11, pp.336~344 (1975)
- V. Lakshmikantham, "Coupled fixed point theorems for nonlinear contrac-tions in partially ordered metric spaces", Nonlinear Analysis. Theory, Method and Ap-plications, 70(12), pp.4341~4349 (2009)
- K. Menger, "Statistical metric", Proc. Natl. Acad. Sci, 28, pp.535~537 (1942)
- J.H. Park, "Intuitionistic fuzzy metric spaces", Chaos Solitons and Fractals, 22, pp.1039~1046 (2004)
- B. Schweizer, "Statistical metric spaces", Pacific J. Math, 10, pp.314~334 (1960)
- S. Sedghi, "Coupled fixed point theorems for contractions in fuzzy metric spaces", Nonlinear Analysis. Theory, Methods and Applications, 72(3-4), pp.1298~1304 (2010)
- N. Jesic Sinisa, "Common fixed theorems in intuitionistic fuzzy metric spaces and L-fuzzy metric spaces with nonlinear contractive condition", Chaos Solitons and Fractals, 37, pp.675~687 (2008)
- Sumitra, "Coupled Fixed point theorem for weakly compatible mappings in intuitionistic fuzzy metric spaces", International Journal of Computer Applications, 50(23), pp.28~32 (2012)
- Xin-Qi Hu, "Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces", Fixed Point Theory and Applications, 2011, pp.14~ (2011), Hindawi Publishing Corporation
관련 논문AI추천
Application of New Contractive Condition in Integral EquationAmrish Handa, Dinesh Verma한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제1호RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACESBhavana Deshpande, Rohit Pathak한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호SOME FIXED POINT THEOREM USING COMMON PROPERTY(E.A.) IN INTUITIONISTIC FUZZY METRIC SPACEJong Seo Park한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제3호ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACESCihangir Alaca, Duran Turkoglu, Ishak Altun대한수학회 · 대한수학회논문집2008 · 제23권 제3호Application of Contraction Mapping Principle in Integral EquationAmrish Handa한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제4호COMMON FIXED POINT THEOREM OF SEMI-COMPATIBLE MAPS ON INTUITIONISTIC FUZZY METRIC SPACE박종서대한수학회 · 대한수학회논문집2010 · 제25권 제1호
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