We establish common fixed point theorems for fuzzy mappings under a $\varphi$-contractioncondition on a metric space with the d_$\infty$-metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d_$\infty$-metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results.
|Number of pages||8|
|Journal||Mathematical and Computer Modelling|
|Publication status||Published - 2010|
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computer Science Applications