A Picard-S Iterative Scheme for Approximating Fixed Point of Weak-Contraction Mappings

We study the convergence analysis of a Picard-S iteration method for a particular class of weak-contraction mappings. Furthermore, we prove a data dependence result for fixed point of the class of weak-contraction mappings with the help of the Picard-S iteration methods

EVALUATION OF FETAL AND MATERNAL RESULTS IN TWİN PREGNANCIES

Amaç: İkiz gebelikler tüm gebeliklerin %1-2’sini, perinatal mortalitenin ise %10-15’ini oluşturmaktadır. Perinatal mortalite ve morbidite başlıca prematür eylem nedeni ile ortaya çıkmaktadır. Bu çalışmada kliniğimizde doğumu gerçekleşen ikiz gebeliklerin maternal ve fetal sonuçların değerlendirilmesi amaçlanmıştır. Gereç ve Yöntem: Ocak 2012-Mayıs 2014 tarihleri arasında kliniğimizde doğum yapmış 47 ikiz gebelik olgusunun dosya kayıtları incelenerek maternal yaş, doğum sırasında ortalama gebelik haftası, ortalama doğum kilosu, yenidoğan yoğun bakım ihtiyacı olup olmadığı, bebeklerin 1. ve 5. dakika Apgar skorları değerlendirildi. Sonuçlar ortalama ± standart sapma olarak ifade edildi. Bulgular: İkiz gebelik sıklığı %1,6 olarak tespit edildi. Ortalama maternal yaş 30,19 ± 5,59 (aralık: 18-45), ortalama gravida 2,35 ± 1,70, ortalama parite 0,95 ± 1,27, doğum sırasında ortalama gebelik haftası 33,43 ± 6,02 (aralık: 29-39) olarak tespit edildi. Olguların %19,14’de (9 olgu) hipertansiyon mevcuttu. Olguların %14,9’u (7 olgu) ise diyabet ile komplike idi. Yenidoğan doğum kiloları ortalama 2263,97 ± 585,85 gr (aralık: 820-3670 gr), 1.dakika Apgar skorları 8,50 ± 1,80 ve 5.dakika Apgar skorları 8,54 ± 1,25 olarak bulundu. Yenidoğan bebeklerin %20’sinde yenidoğan bakım ihtiyacı oldu; %10 bebekte solunum yolu ile ilgili komplikasyonlar gelişti. Sonuç: İkiz gebelikler halen perinatal ve maternal morbidite nedenidir. Bu gebelikler normal popülasyona göre daha sık diyabet ve hipertansiyon ile komplike olmaktadır. Perinatal sonuçlar özellikle doğum haftası ile ilişkilidir.Objective: Twin pregnancies account for 1-2% of all pregnancies and for 10-15% of perinatal mortality. Perinatal mortality and morbidity occurs mainly due to preterm birth. With this study, we aimed to analyse the fetal and maternal outcomes of twin pregnancies who gave birth in our clinic. Material and Method: The file records of 47 twin pregnancies giving birth in our clinic between January 2012 and May 2014 were analysed and the data about the maternal age, gestational age, mean fetal birth weight, the need of the admission to neonatal intensive care unit, the Apgar scores at 1 and 5th minutes was evaluated. The results were expressed as mean ± standard deviation. Results: The incidence of twinning was 1.6%. Mean maternal age was 30.19 ± 5.59 (range: 18-45), mean gravidity was 2.35 ± 1.70, mean parity was 0.95 ± 1.27, mean gestational week during labor was 33.43 ± 6.02 (range: 29-39). 9 cases (19.14%) were complicated with hypertension and 7 cases (14.9%) were complicated with diabetes. The mean birth weights of newborns were 2263.97 ± 585.85 gr (range: 820-3670 gr); Apgar scores at 1. and 5.minute were 8.50 ± 1.80 and 8.54 ± 1.25 respectively. 20% of newborns needed treatment at the neonatal intensive care unit and 10% of newborns developed complications regarding the respiratory system. Conclusion: Twin pregnancies are still a cause of perinatal and maternal morbidity. These pregnancies are complicated more commonly with diabetes and hypertension, compared with singleton pregnancies. Perinatal outcomes are especially related to the gestational ag

Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators

summary:We study some qualitative features like convergence, stability and data dependency for Picard-S iteration method of a quasi-strictly contractive operator under weaker conditions imposed on parametric sequences in the mentioned method. We compare the rate of convergence among the Mann, Ishikawa, Noor, normal-S, and Picard-S iteration methods for the quasi-strictly contractive operators. Results reveal that the Picard-S iteration method converges fastest to the fixed point of quasi-strictly contractive operators. Some numerical examples are given to validate the results obtained herein. Our results substantially improve many other results available in the literature

Applications of Normal S-Iterative Method to a Nonlinear Integral Equation

It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven

Some Convergence and Stability Results for Two New Kirk Type Hybrid Fixed Point Iterative Algorithms

We introduce Kirk-multistep-SP and Kirk-S iterative algorithms and we prove some convergence and stability results for these iterative algorithms. Since these iterative algorithms are more general than some other iterative algorithms in the existing literature, our results generalize and unify some other results in the literature

Stability and data dependence results for Zamfirescu multi-valued mappings

In this paper, we prove some stability and data dependence results for the class of multivalued Zamfirescu operators. Our results generalize and improve several existing results in literature. It is worth mentioning here that our results are new even for single valued mappings.The first author is partially supported by University Grants Commission, India for the financial assistance in the form of BSR-UGC start up grant.Publisher's Versio