in this paper we investigate the generalized hyers-ulamstability of the following cauchy-jensen type functional equation$$qbig(frac{x+y}{2}+zbig)+qbig(frac{x+z}{2}+ybig)+qbig(frac{z+y}{2}+xbig)=2[q(x)+q(y)+q(z)]$$ in non-archimedean spaces

In this paper, a new algebraic representation by the non-Archimedean fields is proposed to model stratified/ranked knowledge bases. The non-Archimedean representation is in the form of the non-Archimedean polynomials. With the nonArchimedean representation, the most widely used ordering strategies are easily induced and compared. Moreover, a framework of prioritized merging operators using the ...

Spiral waves in period-doubled and other complex-oscillatory media possess line defects across which the phase of the oscillation changes by multiples of 2pi. For such systems, the concept of a splay state, introduced for coupled oscillator systems, is generalized to an Archimedean spiral splay field. In this splay field a spiral wave in a two dimensional space is considered to be a special spl...

In this paper I propose the non-Archimedean multiple-validity. Further, I build an infinite-order predicate logical language in that predicates of various order are considered as fuzzy relations. Such a language can have non-Archimedean valued semantics. For instance, infinite-order predicates can have an interpretation in the set [0, 1] of hyperreal (hyperrational) numbers. Notice that there e...

We introduce an arithmetic functional equation f(x2+y2)=f(x2)+f(y2) and then investigate stability estimates of the by using Brzdȩk fixed point theorem on a non-Archimedean fuzzy metric space normed space. To apply theorem, proof uses linear relationship between two variables, x y.