Compatibility of type (P) in modified intuitionistic fuzzy metric space.
Jain, Shobha, Jain, Shishir, Jain, Lal Bahadur (2010)
The Journal of Nonlinear Sciences and its Applications
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Jain, Shobha, Jain, Shishir, Jain, Lal Bahadur (2010)
The Journal of Nonlinear Sciences and its Applications
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Saadati, R., Sedghi, S., Shobe, N., Vaespour, S.M. (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Garrido, Angel (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Juan J. Nieto, Rosana Rodríguez López (2006)
Revista Matemática Complutense
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We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy differential equations. To this purpose, we analyze the validity of some properties relative to sequences of fuzzy sets and fuzzy functions.
Hanafy, I.M., Abd El-Aziz, A.M., Salman, T.M. (2006)
Boletín de la Asociación Matemática Venezolana
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Esi, Ayhan (2010)
The New York Journal of Mathematics [electronic only]
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Abbas, Mujahid, Altun, Ishak, Gopal, Dhananjay (2009)
Bulletin of Mathematical Analysis and Applications [electronic only]
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Aliouche, Abdelkrim, Merghadi, Faycel, Djoudi, Ahcene (2009)
The Journal of Nonlinear Sciences and its Applications
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Hanafy, I.M. (2009)
The Journal of Nonlinear Sciences and its Applications
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Dong Qiu, Weiquan Zhang (2013)
Kybernetika
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In this paper, we prove that for a given positive continuous t-norm there is a fuzzy metric space in the sense of George and Veeramani, for which the given t-norm is the strongest one. For the opposite problem, we obtain that there is a fuzzy metric space for which there is no strongest t-norm. As an application of the main results, it is shown that there are infinite non-isometric fuzzy metrics on an infinite set.
Barkhordary, M., Kiani, N.A., Bozorgmanesh, A.R. (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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