Author:
Kenary Hassan Azadi,Rezaei Hamid,Gheisari Yousof,Park Choonkil
Abstract
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic set-valued functional equation, a generalized quadratic set-valued functional equation and a Jensen type cubic set-valued functional equation.
Mathematics Subject Classification 2010: 47H10; 54C60; 39B52; 47H04; 91B44.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference64 articles.
1. Aumann RJ: Integrals of set-valued functions. J Math Anal Appl 1965, 12: 1–12. 10.1016/0022-247X(65)90049-1
2. Debreu G: Integration of correspondences. Proceedings of Fifth Berkeley Symposium on Mathematical Statistics and Probability, vol. II, Part I, Berkeley, University of California Press, USA 1966.
3. Arrow KJ, Debreu v: Existence of an equilibrium for a competitive economy. Econometrica 1954, 22: 265–290. 10.2307/1907353
4. McKenzie LW: On the existence of general equilibrium for a competitive market. Econometrica 1959, 27: 54–71. 10.2307/1907777
5. Hindenbrand W: Core and Equilibria of a Large Economy. Princeton University Press, Princeton; 1974.
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献