A new class of contractions on graphical fuzzy metric spaces and fixed point theorems



	A new class of contractions on graphical fuzzy metric spaces and fixed point theorems


	Fixed Point Theory, Volume 27, No. 2, 2026, 693-710, June 1st, 2026 DOI: 10.24193/fpt-ro.2026.2.14 Authors: Satish Shukla, Shweta Rai, Juan-José Miñana Abstract: The aim of this paper is to introduce a new class of mappings called \((H, H')\)-fuzzy graphical \(\xi\)-contractions in graphical fuzzy metric spaces. Some fixed point results for the mappings of this class are proved. This class of mappings and the fixed point results of this paper generalize and extend several fuzzy analogues of Banach contraction principle in graphical fuzzy metric spaces. Some examples and several consequences of the new concepts and results are given. Key Words and Phrases: Graphical fuzzy metric space, contraction, fixed point 2020 Mathematics Subject Classification: 54H25, 47H10. Published on-line: June 1st, 2026. Fulltext pdf Back to volume's table of contents