WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 21Citation - Scopus: 18Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces(Springer international Publishing Ag, 2012) Mukheimer, A.; Zaidan, Y.; Abdeljawad, T.; Alzabut, J. O.We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (Ilic et al. in Appl. Math. Lett. 24:1326-1330, 2011) on complete partial metric spaces can not be extended for cyclical mappings. Some examples are given to illustrate our results. Moreover, our results generalize some of the results obtained by (Kirk et al. in Fixed Point Theory 4(1):79-89, 2003). An Edelstein type theorem is also extended when one of the sets in the cyclic decomposition is 0-compact.Article Citation - WoS: 33Citation - Scopus: 34Positive Almost Periodic Solutions for a Delay Logarithmic Population Model(Pergamon-elsevier Science Ltd, 2011) Sermutlu, E.; Alzabut, J. O.; Stamov, G. T.By utilizing the continuation theorem of coincidence degree theory, we shall prove that a delay logarithmic population model has at least one positive almost periodic solution. An example is provided to illustrate the effectiveness of the proposed result. (C) 2010 Elsevier Ltd. All rights reserved.Article Citation - WoS: 30Citation - Scopus: 33On Almost Periodic Solutions for an Impulsive Delay Logarithmic Population Model(Pergamon-elsevier Science Ltd, 2010) Sermutlu, E.; Alzabut, J. O.; Stamov, G. Tr.By employing the contraction mapping principle and applying the Gronwall-Bellman inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solutions for an impulsive delay logarithmic population model. An example with its numerical simulations has been provided to demonstrate the feasibility of our results. (C) 2009 Elsevier Ltd. All rights reserved.Article Citation - WoS: 15Citation - Scopus: 16Periodic Solutions, Global Attractivity and Oscillation of an Impulsive Delay Host-Macroparasite Model(Pergamon-elsevier Science Ltd, 2007) Alzabut, J. O.; Saker, S. H.In this paper we will consider the nonlinear impulsive delay host-macroparasite model with periodic coefficients. By means of the continuation theorem of coincidence degree, we establish a sufficient condition for the existence of a positive periodic solution M(t) with strictly positive components. Moreover, we establish a sufficient condition for the global attractivity of M(t) and some sufficient conditions for oscillation of all positive solutions about the positive periodic solution M(t). (c) 2006 Elsevier Ltd. All rights reserved.