Ciric's fixed point theorem in a cone metric space

In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.Comment: To appear in TJNS

Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains

We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mixed boundary conditions. We use a unified approach to show the optimal criteria of Fujita type for each case. Our study yields naturally optimal nonexistence results for the corresponding stationary wave system and equation. We provide many new results and close some open questions

Control of Multiple Remote Servers for Quality-Fair Delivery of Multimedia Contents

This paper proposes a control scheme for the quality-fair delivery of several encoded video streams to mobile users sharing a common wireless resource. Video quality fairness, as well as similar delivery delays are targeted among streams. The proposed controller is implemented within some aggregator located near the bottleneck of the network. The transmission rate among streams is adapted based on the quality of the already encoded and buffered packets in the aggregator. Encoding rate targets are evaluated by the aggregator and fed back to each remote video server (fully centralized solution), or directly evaluated by each server in a distributed way (partially distributed solution). Each encoding rate target is adjusted for each stream independently based on the corresponding buffer level or buffering delay in the aggregator. Communication delays between the servers and the aggregator are taken into account. The transmission and encoding rate control problems are studied with a control-theoretic perspective. The system is described with a multi-input multi-output model. Proportional Integral (PI) controllers are used to adjust the video quality and control the aggregator buffer levels. The system equilibrium and stability properties are studied. This provides guidelines for choosing the parameters of the PI controllers. Experimental results show the convergence of the proposed control system and demonstrate the improvement in video quality fairness compared to a classical transmission rate fair streaming solution and to a utility max-min fair approach

On an implicit convexity concept and some integral inequalities

Abstract We introduce a new concept of convexity that depends on a function F : R × R × R × ( 0 , 1 ) → R $F:\mathbb{R}\times\mathbb{R}\times\mathbb {R}\times (0,1)\to\mathbb{R}$ satisfying certain axioms. The presented concept generalizes many kinds of convexity including ε-convex functions, α-convex functions, and h-convex functions. Moreover, some integral inequalities are provided via our notion of convexity

Impacts of Telemonitoring on Weight Obesity in African Americans

Obesity has become a complex public health issue among African Americans over the last few decades, due to the health risks it poses to this population. Obesity exposes African Americans to a variety of chronic diseases, including, but not limited to, diabetes and cardiovascular diseases. Owing to the complexity inherent in obesity, healthcare practitioners have developed various strategies and interventions to manage weight among vulnerable populations. In this regard, telemonitoring, a continuous or non-continuous process that allows medical practitioners to remotely monitor, collect, and interpret data necessary for medical follow-up and, if necessary, make medical decisions regarding the health state of a patient, has emerged as a helpful intervention in weight management. This paper is an integrative review examining the impacts of telemonitoring on weight management in African Americans. The integrative review will review the issues associated with weight management among African American adults and then undertake a literature review examining the prevalence, trends, and patterns of telemonitor weight management African American adults in the current body of literature. Additionally, the review will undertake methodological analysis by examining the literature in the context of the reliability and relevance of the data used in the studies. Overall, the review will conclusively examine the literature results and discuss the result concerning the topic of study

Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications

We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results