Integers having no prime factors outside a fixed set of primes play important role and are heavily investigated in several parts of number theory. For example, they play special role in diophantine number theory; see e.g. the classical survey paper of Evertse, Győry, Stewart and Tijdeman [1] or Chapter 1 of the book of Shorey and Tijdeman [7] and the references given there. Further, the sequenc...

*Correspondence: [email protected] 2Department of Applied Mathematics, Central South University, Lushan South Road 932, Changsha, Hunan 410083, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary co...

The melting point of gallium (29.7646 °C) is a defining thermometric fixed point of the International Temperature Scale of 1990 (ITS-90). Realization of this melting point is performed using a fixedpoint cell containing high-purity (≥99.999 99 wt. % pure) gallium. A 30 kg single lot of gallium (99.999 9956 wt. % pure) constituting Standard Reference Material (SRM) 1751 was evaluated, and certif...

There are many papers in the literature that discuss the asymptotic fixed point theory, in which the existence of the fixed points is deduced from the assumption on the iterates of an operator (e.g., [1, 6] and the references therein). Recently, Kirk [5] studied an asymptotic fixed point theorem concerning nonlinear contractions. He proved the following theorem [5, Theorem 2.1] by appealing to ...

In this paper, assuming a natural sequentially compact conditionwe establish new fixed point theorems for Urysohn type maps between Fréchet spaces. In Section 2 we present new LeraySchauder alternatives, Krasnoselskii and Lefschetz fixed point theory for admissible type maps. The proofs rely on fixed point theory in Banach spaces and viewing a Fréchet space as the projective limit of a sequence...

This paper examines the problems of applying traditional function points count rules to virtual reality systems (VRS). From the analysis of the differences between traditional and VRS systems, a set of deficiencies in the IFPUG 4.1 function points count method was detected. Due to the increasing importance of these kinds of applications, it is necessary to study how traditional function points ...

People’s desire for fair transactions can play an important role in negotiations, organizations, and markets. In this paper, we show that markets can also shape what people consider to be a fair transaction. We propose a simple and generally-applicable model of path-dependent fairness preferences, in which past experiences shape preferences, and we experimentally test the model’s predictions. W...

Some researchers argue that task switching involves task-set reconfiguration--that is, changing the existing task set to perform a different task. Although this idea is intriguing, it is often unclear what is reconfigured and which processes are involved in reconfiguration. We addressed these issues by defining task sets, identifying differences between them, and obtaining evidence that was dia...

The departure time decisions of commuters are of fundamental importance to the study of peak-period traffic congestion and to the analysis of traffic control as well as broader demand-side congestion relief measures, such as pricing and ride sharing incentives [1]. Over the past decades, there have been very active research efforts in the departure time problem, both in econometric modeling and...

In multiobjective optimization methods, multiple conflicting objectives are typically converted into a single objective optimization problem with the help of scalarizing functions. The conic scalarizing function is a general characterization of Benson proper efficient solutions of non-convex multiobjective problems in terms of saddle points of scalar Lagrangian functions. This approach preserve...