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Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process
Yunus Atalan,Vatan Karakaya 강원경기수학회 2019 한국수학논문집 Vol.27 No.4
In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give non-trivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.
Erdem, Merve Guler,Cinkilic, Nilufer,Vatan, Ozgur,Yilmaz, Dilek,Bagdas, Deniz,Bilaloglu, Rahmi Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.10
Vanillic acid, a vegetable phenolic compound, is a strong antioxidant. The aim of the present study was to determine its effects on mitomycin C-induced DNA damage in human blood lymphocyte cultures in vitro, both alone and in combination with mitomycin C (MMC). The cytokinesis block micronucleus test and alkaline comet assay were used to determine genotoxic damage and anti-genotoxic effects of vanillic acid at the DNA and chromosome levels. MMC induced genotoxicity at a dose of $0.25{\mu}g/ml$. Vanillic acid ($1{\mu}g/ml$) significantly reduced both the rates of DNA damaged cells and the frequency of micronucleated cells. A high dose of vanillic acid ($2{\mu}g/ml$) itself had genotoxic effects on DNA. In addition, both test systems showed similar results when tested with the negative control, consisting of dimethyl sulfoxide (DMSO) in combination with vanillic acid ($1{\mu}g/ml$)+MMC. In conclusion, vanillic acid could prevent oxidative damage to DNA and chromosomes when used at an appropriately low dose.
Two Cases of Multivessel Coronary Artery Ectasias Resulting in Acute Inferior Myocardial Infarction
Huseyin Gunduz,Saadet Demirtas,Mehmet Bulent Vatan,Mehmet Akif Cakar,Ramazan Akdemir 대한심장학회 2012 Korean Circulation Journal Vol.42 No.6
The incidence of multivessel coronary artery ectasias (CAEs) among patients undergoing coronary artery angiography is very rare. All three coronary vessels can be affected by CAE, but most patients have an isolated arterial ectasia, commonly the right coronary artery. In this report we present two cases with inferior myocardial infarction that was likely caused by thrombotic occlusion of CAEs.