Abstract We propose a new account of indicative conditionals, giving acceptability and logical closure conditions for them. start from Adams’ Thesis: the claim that simple equals corresponding conditional probability. The Thesis is widely endorsed, but arguably false refuted by empirical research. To fix it, we submit, need relevance constraint: accept $$\varphi \rightarrow \psi$$ <mml:math xml...

In this paper we introduce the notion of $varphi$-commutativity for a Banach algebra $A$, where $varphi$ is a continuous homomorphism on $A$ and study the concept of $varphi$-weak amenability for $varphi$-commutative Banach algebras. We give an example to show that the class of $varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We charac...

The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varphi (t)dt\le \alpha \int^{L(x,y,z)}_0\varphi (t)dt,\] all \(x,y, z\in X\), where\begin{align*}L(x,y,z)&amp;=\max\{G(gx, gy, gz), G(gx, \mathcal{F}x, \mathcal{F}...

Let $A$ and $B$ be two unital $C^{*}$-algebras and $varphi:A rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $varphi$ is unital, $B$ is commutative and $V(varphi(a)^{*}varphi(b))subseteq V(a^{*}b)$ for all $a,bin A$, then $varphi$ is a $*$-homomorph...

We solve a long-standing conjecture by Barker, proving that the minimal and maximal tensor products of two finite-dimensional proper cones coincide if only one is generated linearly independent set. Here, given $${\mathcal {C}}_1$$ , {C}}_2$$ their product cone form $$x_1\otimes x_2$$ where $$x_1\in {\mathcal $$x_2\in while set tensors are positive under all functionals $$\varphi _1\otimes \var...

Two types of contractions are used for mappings defined on probabilistic metric spaces. The first type was introduced by V.M. Sehgal [15-16 ], the second type by T.L. Hicks [7]. Since then, many fixed point results were obtained. In this paper we introduce the concept of a probabilistic g−contraction, which is a generalization of a probabilistic contraction of Hicks’ type and prove some fixed p...

When a belief state is represented as a probability function P , the resulting belief state of the contraction of a sentence (belief) from the original belief state P can be given by the probabilistic version of the Harper Identity. Specifically, the result of contracting P by a sentence h is taken to be the mixture of two states: the original state P , and the resultant state P ∗ ¬h of revisin...