| Title of paper:
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Some new fixed point theorems in generalized intuitionistic fuzzy metric spaces
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| Author(s):
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| M. Rajeswari
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| Mathematics Department, M.G.R College, 635130, Hosur, India
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| rajimaths1980@gmail.com
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| M. Jeyaraman
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| Mathematics Department, Raja Doraisingam Govt. Arts College, 630561, Sivaganga, India
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| jeya.math@gmail.com
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| S. Durga
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| Mathematics Department, Raja Doraisingam Govt. Arts College, 630561, Sivaganga, India
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| durgasundaram96@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 3, pages 42–52
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| DOI:
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10.7546/nifs.2019.25.3.42-52
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| Download:
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 PDF (179 Kb, File info)
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| Abstract:
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The aim of this paper is to give some new fixed point theorems for contractive type mappings in generalized intuitionistic fuzzy metric spaces. The results presented improve some well known results in the literature.
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| Keywords:
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Complete, Compact, Fuzzy metric space, Intuitionistic fuzzy metric space.
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| AMS Classification:
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54H25, 47H10, 47S40.
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| References:
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- Atanassov, K. (1983). Intuitionistic fuzzy sets, VII ITKR’s session, Sofia, June 1983 (Deposed in central Science-Technical Library of Bulg. Academy of Science, 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6 (in English).
- Banach, S. (1932). Theorie des Operations Lineaires, Warsaw: Monografj Mathematyczne.
- Edelstein, M. (1962). On fixed and periodic points under contractive mapping. J London Math Soc., 37, 74–79.
- George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64, 395–399.
- Gregori, V., & Sapena, A. (2002). On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125, 245–252.
- Kramosil, I., & Michalek, J. (1975). Fuzzy metric and statistical metric spaces, Kybernotice, 11, 326–334.
- Park, J. H. (2004). Intuitionistic fuzzy metric spaces, Chaos, Solitons Fractals, 22, 1039–1046.
- Sedghi, S., & Shobe, N. (2006). Fixed point theorem inM-fuzzy metric spaces with property (E), Advances in Fuzzy Mathematics, 1(1), 55–65.
- Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
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