DIFFERENTIAL SUBORDINATIONS AND FUZZY DIFFERENTIAL SUBORDINATIONS USING HILBERT SPACE OPERATOR

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 104

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.07
Author :
Uday H. Naik (Department of Mathematics, Willigdon College, Sangli - 416415, Maharashtra, INDIA)
Raisa M. Shaikh (Department of Mathematics, Shivaji University, Kolhapur - 416001, Maharashtra, INDIA)
Machchhindra T. Gophane (Department of Mathematics, Shivaji University, Kolhapur - 416001, Maharashtra, INDIA)

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.

Keywords and Phrases

Differential subordination, fuzzy subordination, fuzzy set, fuzzy best dominant, subordinations.

A.M.S. subject classification

30C45.

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