94 research outputs found
Fixed point results for generalized cyclic contraction mappings in partial metric spaces
Rus (Approx. Convexity 3:171â178, 2005) introduced the concept of cyclic contraction
mapping. PËacurar and Rus (Nonlinear Anal. 72:1181â1187, 2010) proved some fixed
point results for cyclic Ï-contraction mappings on a metric space. Karapinar (Appl. Math.
Lett. 24:822â825, 2011) obtained a unique fixed point of cyclic weak Ï- contraction mappings
and studied well-posedness problem for such mappings. On the other hand, Matthews
(Ann. New York Acad. Sci. 728:183â197, 1994) introduced the concept of a partial metric
as a part of the study of denotational semantics of dataflow networks. He gave a modified
version of the Banach contraction principle, more suitable in this context. In this paper, we
initiate the study of fixed points of generalized cyclic contraction in the framework of partial
metric spaces. We also present some examples to validate our results.S. Romaguera acknowledges the support of the Ministry of Science and Innovation of Spain, grant MTM2009-12872-C02-01.Abbas, M.; Nazir, T.; Romaguera Bonilla, S. (2012). Fixed point results for generalized cyclic contraction mappings in partial metric spaces. Revista- Real Academia de Ciencias Exactas Fisicas Y Naturales Serie a Matematicas. 106(2):287-297. https://doi.org/10.1007/s13398-011-0051-5S2872971062Abdeljawad T., Karapinar E., Tas K.: Existence and uniqueness of a common fixed point on partial metric spaces. Appl. Math. Lett. 24(11), 1894â1899 (2011). doi: 10.1016/j.aml.2011.5.014Altun, I., Erduran A.: Fixed point theorems for monotone mappings on partial metric spaces. Fixed Point Theory Appl. article ID 508730 (2011). doi: 10.1155/2011/508730Altun I., Sadarangani K.: Corrigendum to âGeneralized contractions on partial metric spacesâ [Topology Appl. 157 (2010), 2778â2785]. Topol. Appl. 158, 1738â1740 (2011)Altun I., Simsek H.: Some fixed point theorems on dualistic partial metric spaces. J. Adv. Math. Stud. 1, 1â8 (2008)Altun I., Sola F., Simsek H.: Generalized contractions on partial metric spaces. Topol. Appl. 157, 2778â2785 (2010)Aydi, H.: Some fixed point results in ordered partial metric spaces. arxiv:1103.3680v1 [math.GN](2011)Boyd D.W., Wong J.S.W.: On nonlinear contractions. Proc. Am. Math. Soc. 20, 458â464 (1969)Bukatin M., Kopperman R., Matthews S., Pajoohesh H.: Partial metric spaces. Am. Math. Monthly 116, 708â718 (2009)Bukatin M.A., Shorina S.Yu. et al.: Partial metrics and co-continuous valuations. In: Nivat, M. (eds) Foundations of software science and computation structure Lecture notes in computer science vol 1378., pp. 125â139. Springer, Berlin (1998)Derafshpour M., Rezapour S., Shahzad N.: On the existence of best proximity points of cyclic contractions. Adv. Dyn. Syst. Appl. 6, 33â40 (2011)Heckmann R.: Approximation of metric spaces by partial metric spaces. Appl. Cat. Struct. 7, 71â83 (1999)Karapinar E.: Fixed point theory for cyclic weak -contraction. App. Math. Lett. 24, 822â825 (2011)Karapinar, E.: Generalizations of Caristi Kirkâs theorem on partial metric spaces. Fixed Point Theory Appl. 2011,4 (2011). doi: 10.1186/1687-1812-2011-4Karapinar E.: Weak -contraction on partial metric spaces and existence of fixed points in partially ordered sets. Math. Aeterna. 1(4), 237â244 (2011)Karapinar E., Erhan I.M.: Fixed point theorems for operators on partial metric spaces. Appl. Math. Lett. 24, 1894â1899 (2011)Karpagam S., Agrawal S.: Best proximity point theorems for cyclic orbital MeirâKeeler contraction maps. Nonlinear Anal. 74, 1040â1046 (2011)Kirk W.A., Srinavasan P.S., Veeramani P.: Fixed points for mapping satisfying cylical contractive conditions. Fixed Point Theory. 4, 79â89 (2003)Kosuru, G.S.R., Veeramani, P.: Cyclic contractions and best proximity pair theorems). arXiv:1012.1434v2 [math.FA] 29 May (2011)Matthews S.G.: Partial metric topology. in: Proc. 8th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci. 728, 183â197 (1994)Neammanee K., Kaewkhao A.: Fixed points and best proximity points for multi-valued mapping satisfying cyclical condition. Int. J. Math. Sci. Appl. 1, 9 (2011)Oltra S., Valero O.: Banachâs fixed theorem for partial metric spaces. Rend. Istit. Mat. Univ. Trieste. 36, 17â26 (2004)PÄcurar M., Rus I.A.: Fixed point theory for cyclic -contractions. Nonlinear Anal. 72, 1181â1187 (2010)Petric M.A.: Best proximity point theorems for weak cyclic Kannan contractions. Filomat. 25, 145â154 (2011)Romaguera, S.: A Kirk type characterization of completeness for partial metric spaces. Fixed Point Theory Appl. (2010, article ID 493298, 6 pages).Romaguera, S.: Fixed point theorems for generalized contractions on partial metric spaces. Topol. Appl. (2011). doi: 10.1016/j.topol.2011.08.026Romaguera S., Valero O.: A quantitative computational model for complete partial metric spaces via formal balls. Math. Struct. Comput. Sci. 19, 541â563 (2009)Rus, I.A.: Cyclic representations and fixed points. Annals of the Tiberiu Popoviciu Seminar of Functional equations. Approx. Convexity 3, 171â178 (2005), ISSN 1584-4536Schellekens M.P.: The correspondence between partial metrics and semivaluations. Theoret. Comput. Sci. 315, 135â149 (2004)Valero O.: On Banach fixed point theorems for partial metric spaces. Appl. Gen. Top. 6, 229â240 (2005)Waszkiewicz P.: Quantitative continuous domains. Appl. Cat. Struct. 11, 41â67 (2003
Stable Isotope Records from Mount Logan, Eclipse Ice Cores and Nearby Jellybean Lake. Water Cycle of the North Pacific Over 2000 Years and Over Five Vertical Kilometres: Sudden Shifts and Tropical Connections
Three ice cores recovered on or near Mount Logan, together with a nearby lake record (Jellybean Lake), cover variously 500 to 30 000 years. This suite of records offers a unique view of the lapse rate in stable isotopes from the lower to upper troposphere. The region is climatologically important, being beside the Cordilleran pinning-point of the Rossby Wave system and the Aleutian Low. Comparison of stable isotope series over the last 2000 years and model simulations suggest sudden and persistent shifts between modern (mixed) and zonal flow regimes of water vapour transport to the Pacific Northwest. The last such shift was in A.D. 1840. Model simulations for modern and âpureâ zonal flow suggest that these shifts are consistent regime changes between these flow types, with predominantly zonal flow prior to ca. A.D. 1840 and modern thereafter. The 5.4 and 0.8 km asl records show a shift at A.D. 1840 and another at A.D. 800. It is speculated that the A.D. 1840 regime shift coincided with the end of the Little Ice Age and the A.D. 800 shift with the beginning of the European Medieval Warm Period. The shifts are very abrupt, taking only a few years at most.Trois carottes de glace prĂ©levĂ©es Ă proximitĂ© du mont Logan, combinĂ©es Ă une coupe stratigraphique du lac Jellybean, couvrent une pĂ©riode comprise entre 500 et 30 000 ans. Elles renseignent sur les taux de changement de la composition isotopique de la troposphĂšre. La rĂ©gion Ă©tudiĂ©e est importante au niveau climatologique puisquâelle est au point de convergence des ondes de Rossby et de la dĂ©pression des AlĂ©outiennes. La comparaison entre la composition isotopique depuis 2000 ans et les rĂ©sultats des simulations suggĂšre des changements brusques et persistants entre les rĂ©gimes de transport de vapeur dâeau modernes et zonaux dans le nord-est du Pacifique, oĂč le dernier changement sâest produit en 1840 de notre Ăšre. Les simulations indiquent que les changements de flux correspondent aux changements de rĂ©gime, avec un flux zonal avant ca 1840 pour passer au type moderne ensuite. Les forages Ă 5,4 et 0,8 km dâaltitude montrent un changement en A.D. 1840 et un autre en lâan 800. On prĂ©sume que ces changements de rĂ©gime coĂŻncident respectivement avec la fin du Petit Ăge Glaciaire et le dĂ©but de la pĂ©riode mĂ©diĂ©vale chaude, ces changements sâĂ©tant produits en quelques annĂ©es seulement
PAHs, PCBs, PBDEs and Pesticides in Cold-Pressed Vegetable Oils
The aim of this study was to investigate levels of polychlorinated biphenyls (marker and dioxin-like congeners), polycyclic aromatic hydrocarbons (EPA 15 + 1), polybrominated diphenyl ethers (14 predominant congeners) and pesticides (74 compounds) in various cold-pressed vegetable oils. Poppy seed oil, rapeseed oil, sesame seed oil, pumpkinseed oil, hempseed oil, linaire oil, borage oil and evening star oil were investigated. Results of this study revealed that concentrations of PCBs, PBDEs and PAHs were low in majority of the investigated samples. However, high concentrations of organophosphorus insecticides were found. Chlorpyrifos methyl and pirimiphos methyl were the pesticide residues most commonly found in the studied oils. Concentration of 15 + 1 EPA PAHs was within the 17.85â37.16 Όg kgâ1 range, concentration of (marker) PCBs varied from 127 to 24,882 pg gâ1, dioxin-like TEQ values were below 0.1 pg TEQ gâ1. Concentration of PBDEs was below LOQ in most cases
Enhancing informal learning recognition through TRAILER project
Conde, M. A., GarcĂa-PenÌalvo, F. J., Zangrando, V.,
GarcĂa-Holgado, A., Seoane-Pardo, A. M., Alier, M., Galanis, N.,
Griffiths, D., Johnson, M., Janssen, J., Brouns, F., Vogten, H.,
Finders, A., Sloep, P. B., Marques, M. A., Viegas, M. C., Alves, G. R.,
Waszkiewicz, E., Mykowska, A., Minovic, M., &
Milovanovic, M. (2013). Enhancing informal learning recognition through
TRAILER project. In F. J. GarcĂa-Peñalvo, M. Ă. Conde, & D. Griffiths (Eds.), Proceedings of the Workshop on Solutions that Enhance Informal Learning Recognition (WEILER 2013) (pp. 21-30). September, 18, 2013, Paphos, Cyprus. http://ceur-ws.org/Vol-1039/The evolution of new technology and its increasing use, has for some
years been making the existence of informal learning more and more
transparent, especially among young and older adults in both Higher Education
and workplace contexts. However, the nature of formal and non-formal, coursebased,
approaches to learning has made it hard to accommodate these informal
processes satisfactorily. The project aims to facilitate first the identification by
the learner (as the last responsible of the learning process), and then the
recognition by the institution, in dialogue with the learner, of this learning. To
do so a methodology and a technological framework to support it have been
implemented. This project has been tested in several contexts showing that an informal learning dialogue between learners and people in charge
of the institutions is possible.Tagging, Recognition and Acknowledgment of Informal Learning ExpeRiences project (TRAILER) that is funded by the European Commission's Lifelong Learning Programme. Ref. 519141-LLP-1-2011-1-ES-KA3-KA3MP [http:// trailerproject.eu]. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein
Alcohol Induces Sensitization to Gluten in Genetically Susceptible Individuals: A Case Control Study
Background: The mechanisms of cerebellar degeneration attributed to prolonged and excessive alcohol intake remain unclear. Additional or even alternative causes of cerebellar degeneration are often overlooked in suspected cases of alcohol-related ataxia. The objectives of this study were two fold: (1) to investigate the prevalence of gluten-related serological markers in patients with alcohol-related ataxia and; (2) to compare the pattern of brain involvement on magnetic resonance imaging between patients with alcohol and gluten ataxias.
Materials & Methods: Patients diagnosed with alcohol and gluten ataxias were identified from a retrospective review of patients attending a tertiary clinic. HLA genotype and serological markers of gluten-related disorders were recorded. Cerebellar volumetry, MR spectroscopy and voxel-based morphometric analyses were performed on patients and compared with matched control data.
Results: Of 904 registered patients, 104 had alcohol ataxia and 159 had gluten ataxia. 61% of the alcohol ataxia group and 70% of the gluten ataxia group had HLA DQ2/DQ8 genotype compared to 30% in healthy local blood donors. 44% of patients with alcohol ataxia had antigliadin antibodies compared to 12% in the healthy local population and 10% in patients with genetically confirmed ataxias. None of the patients with alcohol ataxia and antigliadin antibodies had celiac disease compared to 40% in patients with gluten ataxia. The pattern of structural brain abnormality in patients with alcohol ataxia who had antigliadin antibodies differed from gluten ataxia and was identical to that of alcohol ataxia.
Conclusions: Alcohol related cerebellar degeneration may, in genetically susceptible individuals, induce sensitization to gluten. Such sensitization may result from a primary cerebellar insult, but a more systemic effect is also possible. The duration and amount of exposure to alcohol may not be the only factors responsible for the cerebellar insult
Arms Racing, Military Build-Ups and Dispute Intensity: Evidence from the Greek-Turkish Rivalry, 1985-2020
Arms races are linked in the public conscience to potential violence. Following gas discoveries in eastern Mediterranean, Greece and Turkey nearly came to blows in August 2020 and both states have enacted military expansion plans, further risking escalation. We present a novel approach to study the effect of military build-ups on dispute intensity, using monthly data on Turkish incursions into Greek-claimed airspace. Because airspace claims feature strongly in the dispute, these contestations represent an appropriate measure of the intensity with which Turkey pursues the conflict. Theoretically, we suggest that bilateral factors drive this intensity. We argue that increased Greek military capabilities deter incursions whereas increased Turkish military capabilities fuel them. Results from time-series models support the second expectation. Consequently, the study provides a novel methodological approach to studying interstate conflict intensity and shines new light on escalation dynamics in the Greek-Turkish dispute
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