Self-similar random fractal measures were studied by Hutchinson and Rüschendorf. Working with probability metric in complete metric spaces, they need the first moment condition for the existence and uniqueness of these measures. In this paper, we use contraction method in probabilistic metric spaces to prove the existence and uniqueness of self-similar random fractal measures replacing the firs...

In this paper, we examine people s appraisals of unusual objects and their intuitions about whether others will like those objects. Prior work suggests uniqueness motives (e.g., Need for Uniqueness) affect appraisals, but the effect of these motives on projection of appraisals to others is unclear. Contrary to some prior work, we argue that uniqueness motives do not govern projection of apprais...

The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some i...

In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, ...

This paper empirically analyzes the determinants of demand in the German automobile industry. Our primary goal is to refine the existing literature on that topic by exploring the impact of uniqueness seeking behaviour of individuals on the demand schedule. Using a dataset on the segment of compact cars in the German market, we show that consumers have an intrinsic need for uniqueness seeking, a...

We propose an abstract approach to prove local uniqueness and conditional Hölder stability to non-linear inverse problems by linearization. The main condition is that, in addition to the injectivity of the linearization A, we need a stability estimate for A as well. That condition is satisfied in particular, if A∗A is an elliptic pseudo-differential operator. We apply this scheme to show unique...

We find Feynman–Kac type representation theorems for generalized diffusions. To do this we need to establish existence, uniqueness and regularity results for equations with measure-valued coefficients.