Document Type
Article
Publication Date
7-20-2023
Keywords
fixed point; soft metric space; soft fuzzy metric spaces; altering distance functions; contraction mapping
Abstract
The primary objective of the paper is to present the Banach contraction theorem in soft fuzzy metric spaces while taking into consideration a restriction on the soft fuzzy metric between the soft points of the absolute soft set. A new altering distance function, namely the Ψ -contraction function, is introduced on soft fuzzy metric spaces, and some fixed point results are proven by considering soft mappings that comprise Ψ -contraction with the continuity of soft t-norm. In addition to that, some illustrations are supplied for the support of the established soft fuzzy Banach contraction theorem and fixed point results over Ψ -contraction mappings. The obtained results generalize and extend some well-known results present in the literature on fixed point theory.
Faculty
Faculty of Applied Science and Technology (FAST)
Copyright
© Sonam, Ramakant Bhardwaj, & Satyendra Narayan
Terms of Use
Terms of Use for Works posted in SOURCE.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Original Publication Citation
Sonam, S., Bhardwaj, R., & Narayan, S. (2023). Fixed point results in soft fuzzy metric spaces. Mathematics, 11(14). https://doi.org/10.3390/math11143189
SOURCE Citation
Sonam, Sonam; Bhardwaj, Ramakant; and Narayan, Satyendra, "Fixed Point Results in Soft Fuzzy Metric Spaces" (2023). Publications and Scholarship. 86.
https://source.sheridancollege.ca/fast_publications/86
