Additive and quadratic functional in equalities in non-Archimedean normed spaces

Jung Rye Lee, Choonkil Park, Dong Yun Shin
2014 International Journal of Mathematical Analysis  
In this paper, we solve the additive functional inequality in non-Archimedean normed spaces. Moreover, we prove the Hyers-Ulam stability of the functional inequalities (3) and (4) in non-Archimedean Banach spaces. Mathematics Subject Classification: 46S10, 39B62, 39B52, 47S10, 12J25
doi:10.12988/ijma.2014.44113 fatcat:pc3lppd3ordgnd7lgww4bx6nxe