Fixed Point Theorems for Multivalued Mappings in  Neutrosophic Fuzzy Metric Spaces

K. Dinesh; R. Suganya; V. Banu Priya; M. Suresh; A. Atkinswestley

Authors

K. Dinesh Department of Mathematics, K. Ramakrishnan College of Engineering (Autonomous), Trichy, India
R. Suganya Department of Mathematics, M.A.M.B. School, Trichy, India,
V. Banu Priya Department of Mathematics, R.M.K. College of Engineering and Technology, Puduvoyal, Thiruvallur, India
M. Suresh Department of Science and Humanities (Mathematics), R.M.D. Engineering College, Kavaraipettai- 601206, Thiruvallur, India,
A. Atkinswestley Department of Mathematics, K. Ramakrishnan College of Engineering (Autonomous), Trichy, India

Keywords:

Fixed Point, Neutrosophic Fuzzy Metric Space, Convergence

Abstract

For multivalued mappings, Fixed point theorems are examined in this study within the
context of Neutrosophic fuzzy metric spaces (NFMS), which are a further period of classical fuzzy
metric spaces (FMS) that enable a more sophisticated depiction of indeterminacy, ambiguity, and
uncertainty. We define and show three fixed point (fp) theorems under different contractive-type
circumstances using the neutrosophic fuzzy Hausdorff metric by generalizing well-known fixed
point results from full cone metric spaces. These findings complement and integrate previous
research on multivalued contractions in fuzzy and cone metric contexts. A versatile and reliable
method for examining the presence of fixed points for multivalued operators under neutrosophic
uncertainty is offered by the introduced theorems. Additionally, illustrative examples are provided
to show how the primary findings are applicable.

DOI: 10.5281/zenodo.15871424