Document Type : Research Paper

Authors

• H. Khodaei ¹
• Th. M. Rassias ²

¹ Department of Mathematics, Semnan University P. O. Box 35195-363, Semnan, Iran.

² Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece

Abstract

The goal of this paper is to investigate the solution and stability in random normed spaces, in non--Archimedean spaces and also in $p$--Banach spaces and finally the stability using the alternative fixed point of generalized additive functions in several variables.

Keywords

• Additive function
• $p$--Banach spaces
• Random normed spaces
• Non-–Archimedean spaces
• Fixed point method
• Generalized Hyers–-Ulam stability