Manuscript Title:

𝐅𝝁-𝐑-RETRACT AND 𝐅𝝁-SEMI INTERIOR MAPPING

Author:

ALAMIN ABUSBAIHA, ZAYNAB A. MAKARI, MOHAMED ABULGASIM ABUAJIYLA, ZEINEB K.A. ASHANDOULI, KHAYRI ABU ISBAYHAH, MOHAMMED M. KHALAF

DOI Number:

DOI:10.5281/zenodo.17699200

Published : 2025-11-23

About the author(s)

1. ALAMIN ABUSBAIHA - Mathematics Department, Gharyan University, Libya.
2. ZAYNAB A. MAKARI - Mathematics Department, Gharyan University, Libya.
3. MOHAMED ABULGASIM ABUAJIYLA - Mathematics Department, Gharyan University, Libya.
4. ZEINEB K.A. ASHANDOULI - Mathematics Department, Bani Waleed University, Libya.
5. KHAYRI ABU ISBAYHAH - Mathematics Department, Al Zintan University, Libya.
6. MOHAMMED M. KHALAF - Department of industrial engineering, Faculty of Engineering and Computer Science, Mustaqbal University, Buraydh, Qassim, Saudi Arabia.

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Abstract

In the literature, if (𝑋 ,𝛿) is an F-ts and π‘Œ ⊂ 𝑋, the induced F-topological Vicente A novel notion of F topological subspaces was presented in [Fuzzy Sets and Systems 58 (1993) 365], which aligns with the standard definition when πœ‡ = πœ’π‘Œ. Additionally, they presented the ideas of Fπœ‡-continuity and Fπœ‡-open sets. In this study, we introduce weaker variants of Fπœ‡-continuity using the previously mentioned ideas. Rodabough established the concept of an F-retract [J. Math. Anal. Appl. 79 (1981) 273]. The lesser versions of it are presented here. The concepts of Fπœ‡-irresolute mapping, Fπœ‡-semi closure, and Fπœ‡-semi-interior are presented. Numerous outcomes are achieved.


Keywords

FΜPC , π‘†πΌπœ‡ ,π‘†πΆπœ‡ and FΜP-Retract.