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...

In this paper, we define the multicubic-quartic and multimixed cubic-quartic mappings characterize them. other words, unify system of functional equations defining a (resp., multicubic-quartic) mapping to single equation, namely, equation. We also show that under what conditions can be multicubic, multiquartic multicubic-quartic. Moreover, by using fixed point theorem, study generalized Hyers-U...

In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of nonArchimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-...

We obtain the primitively divergent diagrams in κ-deformed scalar field in four-dimensional spacetime with quartic self-interaction in order to investigate the effect of the fundamental length q = 1/(2κ) on such diagrams. Thanks to κ-deformation, we find that the dimensionally regularized forms of the diagrams lead to finite results in the limit of space-time dimension four. The effect of the d...

We show how to extract a contour line (or isosurface) from quadratic elements—specifically from quadratic triangles and tetrahedra. We also devise how to transform the resulting contour line (or surface) into a quartic curve (or surface) based on a curved-triangle (curved-tetrahedron) mapping. A contour in a bivariate quadratic function defined over a triangle in parameter space is a conic sect...

This paper presents the quartic public key transformation which can be used for public key applications if side information is also used. This extends an earlier work where the cubic transformation was similarly used. Such a transformation can be used in multiparty communications protocols. Introduction Cryptographic transformations may be visualized in locked box or a piggy-bank modes [1], or ...

The aim of this paper is to introduce and solve the following p-radical functional equation related quartic mappings. where f a mapping from R into vector space X p ≥ 3 an odd natural number. Using analogue version Brzd¸ek’s fixed point theorem [13], we establish some hyperstability results for considered in non-Archimedean Banach spaces. Also, give inhomogeneous mapping.

We prove that when n ≥ 5, the Dehn function of SL(n, Z) is at most quartic. The proof involves decomposing a disc in SL(n, R)/ SO(n) into a quadratic number of loops in generalized Siegel sets. By mapping these loops into SL(n, Z) and replacing large elementary matrices by “shortcuts,” we obtain words of a particular form, and we use combinatorial techniques to fill these loops.