On Regularity, Transitivity, and Ergodic Principle for Quadratic Stochastic Volterra Operators

In this paper we showed an equivalence of notions of regularity, transitivity and Ergodic principle for quadratic stochastic Volterra operators acting on the finite dimensional simplex.Comment: 5 page

Modelling and simulation of wireless information and power exchange protocol with power splitting for energy sustainability in device-to-device communications

Wireless Information and Power Exchange (WIPE) protocols are very important on the Internet of thing (IoT) wireless sensor communication. With this scheme, the nodes can control and manage their power. Also, with the scheme, one will know which nodes consume more powers and which nodes consume fewer powers. To understand the WIPE protocol and operating system, this research was explored the system operation of WIPE protocol and studied the power splitting among all the nodes. In this study, MATLAB coding was used and the user is allowed to enter the network size and the number of nodes in the program. With these two parameters, the MATLAB plots the location of nodes randomly within the size defined by the user and plots the power splitting as well as displays the power and energy consumed by each node. It is suggested, when the nodes are not sending any message, they can go into sleep mode to save energy. The nodes only wake up when they want to send or communicate with other nodes. In this study, the RF energy harvesting technology was used to power-ups all the wireless sensor nodes wirelessly. At the end of the research, graphs displaying the number of nodes and the size of the network that affect the power splitting, power consumption and energy used were analyzed

Managing risks of capital mobility

Inherent in pursuing openness to international capital flows is an awareness that it brings both benefits and risks. Much of the current debate is about how best to balance them. Major benefits for developing countries include access to a broader menu of investment sources, options, and instruments, as well as enhanced efficiency of domestic financial institutions and the discipline of capital markets in conducting domestic macroeconomic policy. By easing financing constraints, the greater availability of international finance can extend the period for implementing needed adjustments. From the perspective of emerging market economies, the author highlights two sources of risk: the host governments'policy of liberalizing capital controls before having established the macroeconomic, regulatory, and institutional foundations required for capital openness. A shift in foreign leaders'and investors'sentiments and confidence, not necessarily related to a particular country's long-term creditworthiness. Risk management demands judicious strategies for both corporate and financial institutions and national policy. At the institutional level, with the advances in technology and communications, financial risk management practice has improved significantly in recent years through the use of statistical models, such as value at risk, computer simulation, and stress testing. At the national level, with the worldwide trend toward democracy, the author argues that managing the risks of financial openness will require developing national mechanisms through which to provide insurance to citizens-through the marketplace or through redistributive policy-and thus to avert political pressure for capital controls. To succeed, open democratic societies have to balance the threat of capital exit, made easier by the opening of capital markets, with the political voice of citizens-demanding protection through redistribution, social safety nets, and other insurance-like measures. These insurance measures have been critical increasing the tension between politics and financial openness in OECD countries. Indeed, cross-country empirical analysis confirms that countries that spend a large share of their GDP on social needs (education, health, and transfer payments) are more open to free international capital flows, and also score high on measures of political and civil liberty.Capital Markets and Capital Flows,Fiscal&Monetary Policy,Payment Systems&Infrastructure,Banks&Banking Reform,Economic Theory&Research,Financial Intermediation,Banks&Banking Reform,Economic Theory&Research,Financial Economics,Settlement of Investment Disputes

On infinite dimensional Volterra type operators

In this paper we study Volterra type operators on infinite dimensional simplex. It is provided a sufficient condition for Volterra type operators to be bijective. Furthermore it is shoved that the condition is not necessary.Comment: 10 page

On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in Banach spaces

In this paper, we unify all know iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically $I$-nonexpansive mappings. Note that such a scheme contains as a particular case of the method introduced in [C.E. Chidume, E.U. Ofoedu, \textit{Inter. J. Math. & Math. Sci.} \textbf{2009}(2009) Article ID 615107, 17p]. We construct examples of total asymptotically nonexpansive mappings which are not asymptotically nonexpansive. Note that no such kind of examples were known in the literature. We prove the strong convergence theorems for such iterative process to a common fixed point of the finite family of total asymptotically $I-$nonexpansive and total asymptotically nonexpansive mappings, defined on a nonempty closed convex subset of uniformly convex Banach spaces. Moreover, our results extend and unify all known results.Comment: 22 pages, Journal of Applied Mathematics (in press