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2015, vol. 19, br. 1, str. 123-129
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On fuzzy differential subordination
(naslov ne postoji na srpskom)
Ključne reči: fuzzy set; fuzzy subordination; fuzzy differential subordination; fuzzy best dominant
Sažetak
(ne postoji na srpskom)
The theory of differential subordination was introduced by S.S. Miller and P.T. Mocanu in [2], then developed in many papers. In [1] the authors investigate various subordination results for some subclasses of analytic functions in the unit disc. G.I. Oros and G. Oros define the notion of fuzzy subordination and in [3, 4, 5] they define the notion of fuzzy differential subordination. In this paper, we determine sufficient conditions for a multivalent function to be a dominant of the fuzzy differential subordination.
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Reference
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2 
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Miller, S.S., Mocanu, P.T. (2000) Differential subordination, theory and application. u: Monographs and Text Books in Pure and Applied Mathematics, New York: Marcel Dekker, No. 225
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Oros, G.I., Oros, Gh. (2011) The notion of subordination in fuzzy sets theory. General Mathematics, 19, 97-103
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Oros, G.I., Oros, Gh. (2012) Dominants and best dominants in fuzzy differential subordinations. Stud. Univ. Babes - Bolyai Math, 57, 239-248
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Oros, Gh., Oros, G.I. (2007) Differential superordination defined by Ruscheweyh derivative. Hokkaido Mathematical Journal, 36(1): 1-8
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Özkan, K.Ö. (2008) Sufficient Conditions for Subordination of Multivalent Functions. Journal of Inequalities and Applications, 2008: 1-8
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63 
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Zadeh, L.A. (1965) Fuzzy sets. Information and Control, 8(3): 338-353
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