On fuzzy differential subordination

Abstract

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.

Keywords

• fuzzy set
• fuzzy subordination
• fuzzy differential subordination
• fuzzy best dominant