Common Fixed Point Theorems in Fuzzy Normed Space


  • Raghad I. Sabri Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology
  • Buthainah A. A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad



Fixed point, Fuzzy norm, Fuzzy normed space, Triangular property, common fixed point




Fixed point theory is an intriguing topic with numerous applications in several branches of mathematics. In addition, fixed point theory offers useful methods for problem-solving that may be used across many subfields of mathematical analysis. Fixed point theorems are concerned with mappings f of a set X into itself that, under particular conditions, permit a fixed point, that is, a point  such that . In this paper, we use the triangle property on fuzzy normed space(Fn-space) to show a common fixed point (CF-point) without continuity. First, we review some of the fundamental terms used in the fuzzy context. After that the notion of triangle fuzzy norm is given then we show that the self mappings Γ and Λ have a CF-point in the setting of Fn-space.  Additionally, certain applications of our main results to the Fredholm integral equation are investigated.




How to Cite

Sabri , R. I., & Ahmed , B. A. A. (2024). Common Fixed Point Theorems in Fuzzy Normed Space . Samarra Journal of Pure and Applied Science, 6(1), 251–262.