6533b834fe1ef96bd129cde3

RESEARCH PRODUCT

On a pair of fuzzy $\varphi$-contractive mappings

Pasquale VetroAkbar AzamMuhammad Arshad

subject

Discrete mathematicsInjective metric spaceFuzzy mappingT-normFuzzy subalgebraFixed pointCommon fixed pointComputer Science ApplicationsConvex metric spaceIntrinsic metricHausdorff distanceContractive type mappingSettore MAT/05 - Analisi MatematicaModeling and SimulationFuzzy numberCoincidence pointMathematics

description

We establish common fixed point theorems for fuzzy mappings under a $\varphi$-contraction condition 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.

yearjournalcountryeditionlanguage
2010-07-01
10.1016/j.mcm.2010.02.010http://hdl.handle.net/10447/50164