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- W3139848253 abstract "Let X and Y be real Banach spaces. The stability of Hyers-Ulam-Rassias approximate isometries on restricted domains S(unbounded or bounded) for into mapping f: S→Y satisfying ‖f(x)-f(y)‖-‖x-y‖≤e(x,y) for all x,y∈S is studied in case that the target space Y is uniformly convex Banach space of the modulus of convexity of power type q≥2 or Y is the Lq(Ω,,μ) (1＜q＜+∞) space or Y is a Hilbert space. Furthermore, the stability of approximate isometries for the case that (x,y)=‖x‖p+‖y‖p or (x,y)=‖x-y‖p for p≠1 is investigated." @default.
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- W3139848253 date "2002-01-01" @default.
- W3139848253 modified "2023-09-24" @default.
- W3139848253 title "Hyers-Ulam-Rassias stability of approximate isometries on restricted domains" @default.
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