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On fixed point theorems in intuitionistic fuzzy metric spaces

Cihangir Alaca
대한수학회 (The Korean Mathematical Society)|2009.10|대한수학회논문집 (Communications of the KMS)|제24권 제4호|pp. 565-579

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참고문헌

키워드

fixed pointtriangular normtriangular conormI-FM spacecontractive type mappings
주제분류수학

초록

In this paper, we give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. We improve and generalize the well-known fixed point theorems of Banach [4] and Edelstein [8] in intuitionistic fuzzy metric spaces. Our main results are intuitionistic fuzzy version of Fang's results [10]. Further, we obtain some applications to validate our main results to product spaces.

Abstract

In this paper, we give some new fixed point theorems for contractive type mappings in intuitionistic fuzzy metric spaces. We improve and generalize the well-known fixed point theorems of Banach [4] and Edelstein [8] in intuitionistic fuzzy metric spaces. Our main results are intuitionistic fuzzy version of Fang's results [10]. Further, we obtain some applications to validate our main results to product spaces.

참고문헌 (28)

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관련 논문AI추천

ON COMPATIBLE MAPPINGS OF TYPE (I) AND (II) IN INTUITIONISTIC FUZZY METRIC SPACESCihangir Alaca, Duran Turkoglu, Ishak Altun대한수학회 · 대한수학회논문집2008 · 제23권 제3호RELATED FIXED POINT THEOREM ON TWO INTUITIONISTIC FUZZY METRIC SPACESBhavana Deshpande, Rohit Pathak한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호Fixed point theorems in fuzzy metric spaces for mappings with some contractive type conditionsBijoy Patir, Lakshmi Narayan Mishra, Nilakshi Goswami강원경기수학회 · 한국수학논문집2018 · 제26권 제2호EXTENSIONS OF BANACH'S AND KANNAN'S RESULTS IN FUZZY METRIC SPACESBinayak S. Choudhur, Krishnapada Das, Pradyut Das대한수학회 · 대한수학회논문집2012 · 제27권 제2호Some fixed point theorems on fuzzy metric spaces with implicit relationsDuran Turkoglu, Ishak Altun대한수학회 · 대한수학회논문집2008 · 제23권 제1호SOME FIXED POINT THEOREM USING COMMON PROPERTY(E.A.) IN INTUITIONISTIC FUZZY METRIC SPACEJong Seo Park한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제3호

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