Hyers-Ulam stability of the isometric Cauchy-Jenson mapping in generalized quasi-Banach spaces. (English) Zbl 1367.46002

Murali, R.; Raj, A. Antony; Deboral, M.

Int. J. Adv. Appl. Math. Mech. 3, No. 4, 16-21 (2016).

Summary: In this article, we investigate the generalized Hyers-Ulam stability of the isometric Cauchy-Jenson mapping in generalized quasi-Banach spaces, and generalized \(p\)-Banach spaces.

MSC:

46A16	Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
46B04	Isometric theory of Banach spaces

Keywords:

Cauchy-Jenson mapping; generalized Hyers-Ulam stability; generalized quasi-Banach space; isometry; generalized \(p\)-Banach space