Tags:data dependence, fixed point, Meir-Keeler contraction, Ostrowski stability, Ulam-Hyers stability and well-posedness
Abstract:
The main purpose of this study is to present someresults related to Meir-Keeler Theorem. Beside the existence anduniqueness results (which are well-known) we will give severalstability properties (data dependence, well-posedness in sense ofTykhonov, Ulam-Hyers stability and Ostrowski stability property)of the fixed point equation.