Stability of Functional Equations in Random Normed Spaces

“The book should interest any professional mathematician whose research is connected with functional equations, especially their stability in random spaces; I also can recommend it for graduate students interested in the subject. It could serve as a complete and independent introduction to the field of stability of functional equations in random spaces and as an excellent source of references for further study.” (Janusz Brzdęk, SIAM Review, Vol. 57 (1), March, 2015)“The book under review is essentially a collection of several recent papers related to the stability of functional equations in the framework of fuzzy and random normed spaces. … useful for graduate students who are interested in the Hyers-Ulam-Rassias stability of functional equations.” (Mohammad Sal Moslehian, zbMATH, Vol. 1281, 2014)

• Preface.- 1. Preliminaries.- 2. Generalized Spaces.- 3. Stability of Functional Equations in Random Normed Spaces Under Special t-norms.- 4. Stability of Functional Equations in Random Normed Spaces Under Arbitrary t-norms.- 5. Stability of Functional Equations in random Normed Spaces via Fixed Point Method.- 6. Stability of Functional Equations in Non-Archimedean Random Spaces.- 7. Random Stability of Functional Equations Related to Inner Product Spaces.- 8. Random Banach Algebras and Stability Results.​