ITERATIVE APPROXIMATIONS FOR GENERALIZED NONEXPANSIVE MAPPINGS USING K ITERATION PROCESS IN BANACH SPACES

Let $H$ be a nonempty subset of a Banach space $X$. A mapping$T:H\rightarrow H$ is said to be generalized $\alpha$-nonexpansive if there is a realnumber $\alpha\in[0,1)$ such that for all $x,y\in H$, we have\begin{eqnarray*}\frac{1}{2}||x-Tx||\leq||x-y||\end{eqnarray*}\begin{eqnarray*}||Tx-Ty||\leq\alpha||Tx-Ty||+\alpha||Ty-x||+(1-2\alpha)||x-y||.\end{eqnarray*}In this paper, we obtain some weak and strong convergence theoremsfor such mappings using K-iteration process in uniformly convex Banach space setting. Our results extend and improve many results in the literature

Numerical reckoning fixed points via new faster iteration process

[EN] In this paper, we propose a new iteration process which is faster than the leading S [J. Nonlinear Convex Anal. 8, no. 1 (2007), 61-79], Thakur et al. [App. Math. Comp. 275 (2016), 147-155] and M [Filomat 32, no. 1 (2018), 187-196] iterations for numerical reckoning fixed points. Using new iteration process, some fixed point convergence results for generalized α-nonexpansive mappings in the setting of uniformly convex Banach spaces are proved. At the end of paper, we offer a numerical example to compare the rate of convergence of the proposed iteration process with the leading iteration processes.Ullah, K.; Ahmad, J.; Khan, FM. (2022). Numerical reckoning fixed points via new faster iteration process. Applied General Topology. 23(1):213-223. https://doi.org/10.4995/agt.2022.11902OJS21322323

Differences in Reporting of Violence and Deliberate Self Harm Related Injuries to Health and Police Authorities, Rawalpindi, Pakistan

Background: The aim of study was to assess differences in reporting of violence and deliberate self harm (DSH) related injuries to police and emergency department (ED) in an urban town of Pakistan. Methods/Principal Findings: Study setting was Rawalpindi city of 1.6 million inhabitants. Incidences of violence and DSH related injuries and deaths were estimated from record linkage of police and ED data. These were then compared to reported figures in both datasets. All persons reporting violence and DSH related injury to the police station, the public hospital\u27s ED, or both in Rawalpindi city from July 1, 2007 to June 30, 2008 were included. In Rawalpindi city, 1 016 intentional injury victims reported to police whereas 3 012 reported to ED. Comparing violence related fatality estimates (N = 56, 95% CI: 46–64), police reported 75.0% and ED reported 42.8% of them. Comparing violence related injury estimates (N = 7 990, 95% CI: 7 322–8 565), police reported 12.1% and ED reported 33.2% of them. Comparing DSH related fatality estimates (N = 17, 95% CI: 4–30), police reported 17.7% and ED reported 47.1% of them. Comparing DSH related injury estimates (N = 809, 95% CI: 101–1 516), police reported 0.5% and ED reported 39.9% of them. Conclusion: In Rawalpindi city, police records were more likely to be complete for violence related deaths as compared to injuries due to same mechanism. As compared to ED, police reported DSH related injuries and deaths far less than those due to other types of violence

Effect of Gender on the Outcome of Acute Coronary Syndrome in Type 2 Diabetes Mellitus

OBJECTIVES To determine the frequency of acute coronary syndrome presentations among diabetic patients and in-hospital outcomes based on gender variance. METHODOLOGY This observational cross-sectional study was conducted at the cardiology department of the Pakistan Institute of Medical Sciences, Islamabad. 106 consecutive diabetic patients with acute coronary syndrome were enrolled. Patients were assessed for in-hospital outcomes like congestive heart failure, recurrent angina, and mortality. The outcomes were evaluated based on gender. The Chi-Square test was used for significant differences keeping the P value < 0.05.  RESULTSThe mean age of the patients was 57.75±8.16 years. Males were 57 (53.8%), and females were 49 (46.2%). Congestive heart failure, re-angina, and mortality were significant in both genders yielding a P value of <0.05. CONCLUSION Diabetes is an important predictor of acute coronary syndrome. The complications related to congestive heart failure and mortality are more prevalent in males than females

Evaluation of Prunus domestica gum as a novel tablet binder

To evaluate binding potential of Prunus domestica gum in tablets formulations. Six tablet batches (F-1B to F-6B) were prepared by wet granulation method, containing Avicel pH 101 as diluent, sodium diclofenac as model drug using 10, 15 and 20 mg of Prunus domestica gum as binder and PVP K30 was used as standard binder. Magnesium stearate was used as lubricant. Flow properties of granules like bulk density, tapped density, Carr index, Hausner’s ratio, angle of repose as well as physical parameters of the compressed tablets including hardness, friability, thickness and disintegration time were determined and found to be satisfactory. The FTIR spectroscopic analysis showed that the formulation containing plant gum is compatible with the drug and other excipients used in tablets formulation. Hence the plant gum has role as a potential binder in tablets formulations. The dissolution profile showed that tablets formulations containing Prunus domestica gum 15 mg/200 mg of total weight of tablet as binder showed better results as compared to PVP K30.Para avaliar a propriedade aglutinante da goma Prunus domestica em formulações de comprimidos, seis lotes (F-1B para F-6B) foram preparados pelo método de granulação úmida, contendo Avicel pH 101 como diluente e diclofenaco de sódio como fármaco modelo, usando 10, 15 e 20 mg de goma de Prunus domestica como agente aglutinante e PVP K30 como aglutinante padrão. O estearato de magnésio foi utilizado como lubrificante. Propriedades de fluxo dos grânulos, como a densidade, índice de Carr, razão de Hausner, ângulo de repouso, bem como parâmetros físicos dos comprimidos, incluindo o tempo de dureza, friabilidade, espessura e desintegração foram determinados e se mostraram satisfatórios. A análise espectroscópica no FTIR mostrou que a formulação contendo goma vegetal é compatível com o fármaco e outros excipientes utilizados na formulação dos comprimidos. Assim, a goma vegetal tem papel potencial como aglutinante em formulações de comprimidos. O perfil de dissolução das formulações que contêm 15 mg/200 mg do peso total do comprimido em goma de Prunus domestica como aglutinante mostrou melhores resultados comparativamente ao PVP K30

Intubation in emergency department of a tertiary care hospital in a low-income

Objective: To study the indications, method, success rate and complications of intubation at the Emergency Department of a private, tertiary care hospital in Karachi, Pakistan.Methods: The case series involved 278 patients above 14 years of age who underwent emergency intubation at the Emergency Department of Aga Khan University Hospital, Karachi between 1998 and 2003. Descriptive statistics were used to compare rapid sequence intubation with crash intubation. The level of significance was p\u3c0.05.Results: Of the total 278 intubations performed, 37 (13.3%) had to be left out for incomplete information. The study population remaining for inferential analysis comprised of 241 patients. Of the total 278 patients, 174 (63%) were males. Rapid sequence intubation was the commonest type (n=185, 67%) of intubation and was performed mostly by anaesthetists (n=236, 85%). Cardiogenic pulmonary oedema and head injury were commonly seen in these patients. The success on first attempt of intubation was 98% (n=181) in rapid sequence intubation, and 85% (n=48) in crash intubation. Overall, 15 (5.3%) complications were seen in these intubations.Conclusion: Study showed a satisfactory success rate in both rapid sequence and crash intubations

Statistical Significance Assessment of Streamflow Elasticity of Major Rivers

Impacts of climate change on streamflow have long been an issue of concern for water experts. The main aim of this study is to assess the response of streamflow to precipitation and air temperature. In this study elasticity model was used to compute the precipitation and air temperature elasticity of 6 major rivers in Khyber-Pakhtunkhwa (KP) Province, Pakistan. In contrast to temperature elasticity estimator, box plots of precipitation elasticity estimator have low range and standard deviation leading to greater central affinity which produces valid, appropriate, and statistically significant elasticity results. Precipitation is positively correlated with streamflow while the air temperature is both positively and negatively linked with streamflow. 10% variation in precipitation and air temperature produces 12 to 20% and 8 to 18% change in streamflow, respectively. The sensitivity of streamflow to air temperature is higher as compared to precipitation. This research work shows that precipitation elasticity results are statistically valid and realistic as compared to temperature elasticity results. Moreover, it is suggested to support elasticity results by statistical correlation to avoid misleading and unrealistic results. Results of the current study can be used in formulating long term policies regarding streamflow sensitivity in the study region. Doi: 10.28991/cej-2021-03091698 Full Text: PD