Random homomorphisms and random derivations in random normed algebras via fixed point method
1 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, 133-791, Korea
2 Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
3 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
Journal of Inequalities and Applications 2012, 2012:194 doi:10.1186/1029-242X-2012-194Published: 4 September 2012
Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces.
MSC: 47H10, 39B52, 37H10, 60H25, 17B40, 39B72, 47B47, 54E70.