Abstract:Let (X, d) be a metric space, f : X → X be a mapping and G(·, f (·)) be an admissible perturbation of f. In this paper we study the following problems: In which conditions imposed on f and G we have the following:
(DDE) data dependence estimate for the mapping f perturbation;
(UH) Ulam-Hyers stability for the equation, x = f (x);
(WP) well-posedness of the fixed-point problem for f;
(OP) Ostrowski property of the mapping f.
Some research directions are suggested.
Mathematics Subject Classification (2010): 47… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.