Almost open mappings between normed spaces

Stability of Mappings on Multi-normed Spaces

In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers– Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings from linear spaces into multi-normed spaces.

A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces

Wewill define a notion for a quasi fuzzy p-normed space, then we use the fixed point alternative theorem to establish Hyers–Ulam– Rassias stability of the quartic functional equation where functions map a linear space into a complete quasi fuzzy p-normed space. Later, we will show that there exists a close relationship between the fuzzy continuity behavior of a fuzzy almost quartic function, co...

Stability Problems of Quintic Mappings in Quasi--Normed Spaces

Stability of additive mappings in non-Archimedean fuzzy normed spaces

In this paper we introduce a notion of a non-Archimedean fuzzy norm and study the stability of the Cauchy equation in the context of non-Archimedean fuzzy spaces in the spirit of Hyers–Ulam–Rassias–Găvruţa. As a corollary, the stability of the Jensen equation is established. We indeed present an interdisciplinary relation between the theory of fuzzy spaces, the theory of non-Archimedean spaces ...

On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces

1 Youngs Researchers Club and Department of Basic Sciences, Islamic Azad University, Ayatollah Amoli Branch, P.O. Box 678, Amol, Iran 2 Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, South Korea 3 Department of Mechanical Engineering, Islamic Azad University, Ayatollah Amoli Branch, P.O. Box 678, Amol, Iran 4 Department of Mathematics and Compu...