A New Type of Coincidence and Common Fixed Point Theorem with Applications

Coincidence and common fixed point theorems for a class of 'Ciric-Suzuki hybrid contractions involving a multivalued and two single-valued maps in a metric space are obtained. Some applications including the existence of a common solution for certain class of functional equations arising in a dynamic programming are also discussed..

Palinologia e taxonomia dos gêneros Elephantopus L., Orthopappus Gleason e Pseudelephantopus Rohr. (Subtribo Elephantopinae, Vernonieae- Asteraceae) ocorrentes no Brasil

A subtribo Elephantopinae tem sido alvo de poucos estudos taxonômicos e palinológicos, necessitando de uma reavaliação em seus limites. Assim, o presente estudo teve como proposta atualizar e ampliar o conhecimento de 13 espécies de Elephantopinae ocorrentes no Brasil através de um acurado estudo palinológico, da anatomia foliar e taxonômico, promovendo a delimitação das espécies dos gêneros Elephantopus (10 espécies) Orthopappus (uma espécie) e Pseudelephantopus (duas espécies)além de oferecer subsídios para posteriores análises filogenéticas. O material botânico utilizado foi obtido através de exsicatas depositadas nos herbários brasileiros e de material coletado em campo. Os grãos de pólen foram tratados pelo método acetolítico, sendo posteriormente mensurados, descritos, e analisados sob microscopia de luz e eletrônica de varredura. As eletromicrografias foram obtidas de grãos de pólen não acetolisados, as análises taxonômicas baseiam-se na metodologia clássica. A anatomia foliar deu-se através da metodologia usual. Os resultados mostram grãos de pólen médios, 3-porados, de exina equinolofada com malhas poligonais organizadas ou não em Elephantopus e Pseudelephantopus, podendo apresentar interrupção na malha poral em Elephantopus. Em Orthopapus os grãos de pólen são 3-colporados, de sexina subequinolofada. A anatomia foliar possibilitou a separação de E. hirtiflorus e E. riparius através da forma ou contorno da nervura principal (planoconvexo), nas demais espécies o contorno é biconvexo. As espécies apresentaram tricomas capitados bisseriados com 8 células, tricomas filamentosos 3-4 celulares, bem como filamentosos de célula distal globosa ou ovóide em E. biflorus, E. micropappus, E. tomentous e Orthopappus angustifolius. Registrou-se variação na ornamentação da cutícula podendo ser lisa ou estriada entre as espécies, bem como a presença de substâncias pécticas na epiderme e drusas nos parênquimas. Em relação aos microcaracteres florais, foram considerados de importância diagnóstica os lóbulos da corola, que variaram entre glandular, glabro e penicilado, este ultimo apenas em E. hirtiflorus, os ápices das anteras que variaram entre obtuso, retuso em E. hirtiflorus e apiculado, lancelolado em E. mollis e E. racemosus, a base da antera variou entre sagitada, caudada lisa em E. riparius e E. tomentosus e caudada em E. riparius. Os macrocaracteres que apresentaram maior valor taxonômico foram a cipsela e o papus, a organização das coflorescências, o número de flores por capítulo e limbo foliar. Neste trabalho aceitou-se a segregação dos três gêneros, com base nos caracteres analisados

An approach version of fuzzy metric spaces including an ad hoc fixed point theorem

In this paper, inspired by two very different, successful metric theories such us the real view-point of Lowen's approach spaces and the probabilistic field of Kramosil and Michalek's fuzzymetric spaces, we present a family of spaces, called fuzzy approach spaces, that are appropriate to handle, at the same time, both measure conceptions. To do that, we study the underlying metric interrelationships between the above mentioned theories, obtaining six postulates that allow us to consider such kind of spaces in a unique category. As a result, the natural way in which metric spaces can be embedded in both classes leads to a commutative categorical scheme. Each postulate is interpreted in the context of the study of the evolution of fuzzy systems. First properties of fuzzy approach spaces are introduced, including a topology. Finally, we describe a fixed point theorem in the setting of fuzzy approach spaces that can be particularized to the previous existing measure spaces.

The Driftnet Fishery in the Fort Pierce-Port Salerno Area off Southeast Florida

From May through September 1987, observations were made on 38 trips in the driftnet fishery off the Fort Pierce-Port Salerno area off southeast Florida. Of the number and weight of fish landed on observed trips, 91.6 percent consisted of king mackerel, Scomberomorus cavalla, the targeted species. Over 33 species of fishes were observed among the discarded by-catch. The most frequently occurring species in the discards was little tunny, Euthynnus alletteratus, which made up 67.0 percent by number of the discarded by-catch. Total landings for all commercial gear from Saint Lucie and Martin counties (the counties of the study area) increased 516,741 pounds from 1986 to 1987. In 1986, 55 percent of the catch was from handline and 45 percent from driftnet landings. In 1987, 78 percent was from driftnet and 22 percent from handline landings. A comparison of lengths from recreational and commercial landings showed recreationally caught fish to be, on the average, smaller. No marine mammals, birds, or turtles were entangled in the net on observed trips. Data on cost of nets. fuel, and supplies plus the distribution of earnings among the crew were obtained for five driftnet boats.

On the theorem of Reichert

This paper reworks and amplifies Reichert's proof of his theorem (1969) which asserts that any impedance function of a one-port electrical network which can be realised with two reactive elements and an arbitrary number of resistors can be realised with two reactive elements and three resistors. © 2012 Elsevier B.V. All rights reserved.

Radiation effects on the immiscible polymer blend of nylon1010 and high-impact polystyrene (HIPS) I: Gel/dose curves, mathematical expectation theorem and thermal behaviour

This paper studies the radiation properties of the immiscible blend of nylon1010 and HIPS. The gel fraction increased with increasing radiation dose. The network was found mostly in nylon1010, the networks were also found in both nylon1010 and HIPS when the dose reaches 0.85 MGy or more. We used the Charleby-Pinner equation and the modified Zhang-Sun-Qian equation to simulate the relationship with the dose and the sol fraction. The latter equation fits well with these polymer blends and the relationship used by it showed better linearity than the one by the Charleby-Pinner equation. We also studied the conditions of formation of the network by the mathematical expectation theorem for the binary system. Thermal properties of polymer blend were observed by DSC curves. The crystallization temperature decreases with increasing dose because the cross-linking reaction inhibited the crystallization procession and destroyed the crystals. The melting temperature also reduced with increasing radiation dose. The dual melting peak gradually shifted to single peak and the high melting peak disappeared at high radiation dose. However, the radiation-induced crystallization was observed by the heat of fusion increasing at low radiation dose. On the other hand, the crystal will be damaged by radiation. A similar conclusion may be drawn by the DSC traces when the polymer blends were crystallized. When the radiation dose increases, the heat of fusion reduces dramatically and so does the heat of crystallization. (C) 1999 Elsevier Science Ltd. All rights reserved.

Resistência de acessos do banco ativo de germoplasma de mandioca à broca das hastes Coelosternus granicollis (Pierce, 1916) (Coleoptera: Curculionidae).

Dentre os insetos que se alimentam da planta da mandioca, destaca-se a broca das hastes, Coelosternus sp., que pode provocar inclusive a morte das plantas de variedades suscetíveis à infestação.

The Rawls-Tawney theorem and the digital divide in postindustrial society.

The digital divide continues to challenge political and academic circles worldwide. A range of policy solutions is briefly evaluated, from laissez-faire on the right to “arithmetic” egalitarianism on the left. The article recasts the digital divide as a problem for the social distribution of presumptively important information (e.g., electoral data, news, science) within postindustrial society. Endorsing in general terms the left-liberal approach of differential or “geometric” egalitarianism, it seeks to invest this with greater precision, and therefore utility, by means of a possibly original synthesis of the ideas of John Rawls and R. H. Tawney. It is argued that, once certain categories of information are accorded the status of “primary goods,” their distribution must then comply with principles of justice as articulated by those major 20th century exponents of ethical social democracy. The resultant Rawls-Tawney theorem, if valid, might augment the portfolio of options for interventionist information policy in the 21st century

Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem

Gough, John, 'Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem', Journal of Mathematical Physics. 47, 113509, (2006)