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Research Article

DIFFERENTIAL SUBORDINATIONS AND FUZZY DIFFERENTIAL SUBORDINATIONS USING HILBERT SPACE OPERATOR

U
Uday H. Naik Department of Mathematics, Willigdon College, Sangli - 416415, Maharashtra, INDIA
R
Raisa M. Shaikh Department of Mathematics, Shivaji University, Kolhapur - 416001, Maharashtra, INDIA
M
Machchhindra T. Gophane Department of Mathematics, Shivaji University, Kolhapur - 416001, Maharashtra, INDIA
Volume 19, Issue 2 Pages 97-112 August 30, 2023 185 downloads
Article overview

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 subordinationfuzzy subordinationfuzzy setfuzzy best dominantsubordinations.

AMS Subject Classification

30C45.

Reference information

How to Cite

Uday H. Naik, Raisa M. Shaikh, Machchhindra T. Gophane (2023). DIFFERENTIAL SUBORDINATIONS AND FUZZY DIFFERENTIAL SUBORDINATIONS USING HILBERT SPACE OPERATOR. South East Asian Journal of Mathematics and Mathematical Sciences, 19(2), 97-112.
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