In this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for three mappings in this space. Obtained results extend and generalize well-known comparable results in the literature.

In this paper, the concept of {sl local base with  stratifiedstructure} in $I$-topological vector spaces is introduced. Weprove that every $I$-topological vector space has a balanced localbase with stratified structure. Furthermore, a newcharacterization of $I$-topological vector spaces by means of thelocal base with stratified structure is given.

is responsible for the progress of nonlinear elliptic PDE theory in the last century. Indeed, most early works on nonlinear elliptic problems focused on this particular equation. There are many beautiful existence, uniqueness, regularity theorems for the minimal surface equation, see for example [13]. The graph of a solution to (1.1) is naturally a minimal hypersurface in R. In general, we can ...

Let V be a vector space over a field F . If G≤GL(V, F ), the central dimension of G is the F -dimension of the vector space V/CV (G). In [DEK] and [KS], soluble linear groups in which the set Licd(G) of all proper infinite central dimensional subgroups of G satisfies the minimal condition and the maximal condition, respectively, have been described. On the other hand, in [MOS], periodic locally...

Abstract An affine vector space partition of $${{\,\textrm{AG}\,}}(n,q)$$ AG ( n , q ) is a set proper subspaces that partitions the points. Here we determine minimum sizes and enum...

DoCarmo-Wallach theory and its subsequent refinements assert the rich abundance of spherical minimal immersions, minimal immersions of round spheres into round spheres. A spherical minimal immersion can be written as a conformal minimal immersion f : Sm → SV with domain the Euclidean m-sphere Sm and range the unit sphere SV of a Euclidean vector space V . Takahashi’s theorem then implies that t...

K?nzi and Yilzid introduced the concept of convexity structures in sense Takahashi quasi-pseudometric spaces [7]. In this article, we continue study theory, introducing W-convexity for real-valued pair functions defined on an asymmetrically normed real vector space. Moreover, show that all minimal pairs space equipped with a convex structure which is W-convex whenever W translation-invariant.