DIFFERENTIAL SUBORDINATIONS AND FUZZY DIFFERENTIAL SUBORDINATIONS USING HILBERT SPACE OPERATOR

Uday H Naik; Raisa M Shaikh; Machchhindra T Gophane

doi:10.56827/SEAJMMS.2023.1902.7

Uday H Naik Department of Mathematics, Willigdon College, Sangli - 416415, Maharashtra, INDIA
Raisa M Shaikh Department of Mathematics, Willigdon College, Sangli - 416415, Maharashtra, INDIA
Machchhindra T Gophane Department of Mathematics, Shivaji University, Kolhapur - 416001, Maharashtra, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.7

Keywords: Differential subordination, fuzzy subordination, fuzzy set, fuzzy best dominant, subordinations

Abstract

Differential subordination has recently been extended from the geometric function theory to the fuzzy set theory by several authors. In this paper, we use the notion of fuzzy differential subordination to introduce certain fuzzy classes using Hilbert Space Operator. Certain interesting results are established for these classes.