Based on a completely distributive lattice $M$, base axioms and subbase axioms are introduced in $M$-fuzzifying convex spaces. It is shown that a mapping $mathscr{B}$ (resp. $varphi$) with the base axioms (resp. subbase axioms) can induce a unique $M$-fuzzifying convex structure with  $mathscr{B}$ (resp. $varphi$) as its base (resp. subbase). As applications, it is proved that bases and subbase...

In the setting of fuzzy metric spaces (FMSs), a global optimization problem (GOP) obtaining distance between two subsets an FMS is solved by tripled fixed-point (FP) technique here. Also, weak contractions (WTCs) for that are given. This was known before in space (MS) as proximity point (PPP). The result correct each continuous τ—norms related to FMS. Furthermore, non-trivial example illustrate...

The present paper aims to introduce the concept of weak-fuzzy contraction mappings in graph structure within context fuzzy cone metric spaces. We prove some fixed point results endowed with a using contractions. By relaxing continuity condition involved, our enrich and generalize well-known theory. With help new lemmas, proofs are straight forward. furnish validity findings appropriate examples...

In this paper, we define and study the Perov fuzzy metric space topology induced by space. We prove Banach contraction theorems. Moreover, devised new results for Kramosil Michálek spaces. process, some about multidimensional common fixed points as coupled/tripled point are derived from our main results.

Let the function $$\varphi $$ be holomorphic in unit disk $${\mathbb {D}}$$ of complex plane {C}}$$ and let ({\mathbb {D}})\subset {\mathbb . We study level sets critical points hyperbolic derivative , $$\begin{aligned} |D_{\varphi }(z)|:=\frac{(1-|z|^2)|\varphi '(z)|}{1-|\varphi (z)|^2}. \end{aligned}$$ In particular, we show how Schwarzian reveals nature points.

A toroidalization of a dominant morphism $varphi: Xto Y$ of algebraic varieties over a field of characteristic zero is a toroidal lifting of $varphi$ obtained by performing sequences of blow ups of nonsingular subvarieties above $X$ and $Y$. We give a proof of toroidalization of locally toroidal morphisms of 3-folds.

Abstract Weighted knowledge bases for description logics with typicality have been recently considered under a “concept-wise” multipreference semantics (in both the two-valued and fuzzy case), as basis of logical multilayer perceptrons (MLPs). In this paper we consider weighted conditional $\mathcal{ALC}$ in finitely many-valued case, through three different semantic constructions. For boolean ...