On Fuzzy Soft G-Metric Spaces
A. F. Sayed *
Department of Mathematics, Al-Lith University College, Umm Al-Qura University, P.O. Box 112, Al-Lith 21961, Makkah Al Mukarramah, Kingdom of Saudi Arabia.
A. Alahmari
Department of Mathematics, College of Applied Sciences, Umm Al-Qura University, Kingdom of Saudi Arabia.
Saleh Omran
Department of Mathematics, Faculty of Science, South Valley University, Faculty of Science, Qena, Egypt.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce the notion of fuzzy soft G-metric space via fuzzy soft elements. Then, fuzzy soft convergence and fuzzy soft continuity are studied in fuzzy soft G-metric space. Finally, some fixed points theorems are proved.
Keywords: Soft set, fuzzy set, fuzzy soft set, fuzzy soft G-metric space, fixed point.