Fixed point results of enriched interpolative Kannan type operators with applications

[EN] The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains theclasses of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskij iteration method to approximate fixed point of the enriched interpolative Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability and periodic point property of operators introduced herein. As an application of the main result, variational inequality problems is solved.Abbas, M.; Anjum, R.; Riasat, S. (2022). Fixed point results of enriched interpolative Kannan type operators with applications. Applied General Topology. 23(2):391-404. https://doi.org/10.4995/agt.2022.1670139140423

Common fixed point theorem for modified Kannan enriched contraction pair in Banach spaces and its applications

The purpose of this paper is to introduce the class of (a; b; c)-modified enriched Kannan pair of mappings (T; S) in the setting of Banach space that includes enriched Kannan mappings, contraction and nonexpansive mappings and some other mappings. Some examples are presented to support the concepts introduced herein. We establish the existence of common fixed point of the such pair. We also show that the common fixed point problem studied herein is well posed. A convergence theorem for the Krasnoselskij iteration is used to approximate fixed points of the (a; b; c)-modified enriched Kannan pair. As an application of the results proved in this paper, the existence of a solution of integral equations is established. The presented results improve, unify and generalize many known results in the literature.http://www.pmf.ni.ac.rs/filomatam2022Mathematics and Applied Mathematic

Evaluation of Stroke Awareness and Risk Factor Prevalence Among Students at A Public Sector University in Quetta

Background and Objective: Stroke is the leading cause of death and disability. Improving stroke knowledge among medical students will help to improve stroke care and its prevention. This study aims to evaluate the prevalence of risk factors and stroke awareness among university students. Methods: This cross-sectional study was conducted among students at Sardar Bahadur Khan Women\u27s University in Quetta. An eleven-question multiple-choice survey was administered to assess participants\u27 knowledge of stroke-related concepts. The initial study was conducted using descriptive statistics. Additionally, a supplementary screening for common risk factors linked to stroke was included in the study, which involved blood pressure, blood sugar, and cholesterol measures. Data were coded, entered into SPSS, and screened for missing values and outliers. Descriptive analyses were conducted, including frequency tables and graphical representations using pie charts. Results: In our survey of 255 female students, the vast majority (94.9%) correctly classified stroke as a brain disease, whereas a lesser percentage (1.6%) confused it with heart (0.8%), kidney (0.8%), or lung diseases (0.8%) problems. Notably, 74.1% of participants were aware of the precise cause of stroke, but 58.8% identified arm and leg weakness as a symptom. Other symptoms that were recognized by participants included difficulties speaking (25.5%), headache (9.8%), vertigo (2.4%), and chest pain (3.4%). Moreover, 94.9% of participants recognized that stroke is preventable. The most often diagnosed risk factor was hypertension (58.4%), which was followed by high cholesterol (11.8%), diabetes (9.0%), migraine (8.2%), advanced age (7.8%), and smoking (4.7%). Conclusion Our study shows a very good knowledge about stroke among the students at Sardar Bahadur Khan University but our results are biased due to addressing only an educated group of people

A note on the fixed point theorem of F-contraction mappings in rectangular M-metric space

In this note, we show that the main result (Theorem 3.2) due to Asim et al. (Appl. Gen. Topol., 23(2), 363-376 (2022) https://doi.org/10.4995/agt.2022.17418) is still valid if we remove the assumption of continuity of the mapping

Evaluation of bacterial strains for the induction of plant biochemicals, nutritional contents and isozymes in barley

The controlled placement of gold nanoparticles (AuNPs) in poly­(styrene-<i>b</i>-isoprene-<i>b</i>-styrene) [SIS] triblock copolymer thin films was achieved by tuning the surface chemistry of the AuNPs. Facile thiol ligand exchanges permitted quick and thorough exploration of the surface chemistry effects on AuNP segregation behavior. By using thiol-functionalized polystyrene (PS-SH) or 1-dodecanethiol (C₁₂SH) ligands to tune nanoparticle surface chemistry, AuNPs were selectively incorporated into either the polystyrene (PS) or the polyisoprene (PI) domains. Nanocomposite polymer films were characterized by atomic force microscopy, transmission electron microscopy (TEM), and TEM tomography. AuNPs synthesized with a C₁₂SH capping ligand preferentially segregated into PI-rich domains. However, after exchanging C₁₂SH with PS-SH ligands to a C₁₂SH:PS-SH molar ratio of approximately 5:1, AuNPs showed an affinity for PS-rich domains. The C₁₂SH:PS-SH transition ratio was much higher than expected, based on molecule-averaged surface energy arguments that predicted a ratio of 0.4:1 to 0.8:1. The unexpected transition ratio was rationalized according to the area-averaged enthalpic contributions of the capping ligands. Furthermore, mixing and incorporating PI- and PS-preferential AuNPs created a well-mixed nanocomposite, which highlights the versatility of the AuNPs

Post-Flood Rehabilitation of Affected Communities by NGOs in Punjab, Pakistan-Learning Lessons for Future

Flood is one of the most frequently occurring disasters in the world which causes loss of thousands of human lives and properties worth millions of dollars. Pakistan faced severe flood during the year 2010. Most of the damage occurred in Punjab, the most populous province of the country. The federal and provincial governments attempted to rescue people and to restore/provide shelter. But both could not meet public expectations due to lack of institutional capacity and financial resources. In this situation, several NGOs took part in rehabilitation of affected communities on existing as well as new sites. Two of such communities have been taken as case studies. A detailed investigation reveals that NGOs played very effective role in improving living conditions and quality of life in affected communities. Resultantly, a vast majority of residents is satisfied. Some issues pertaining to the rehabilitation process and maintenance of settlements have also surfaced. Nevertheless, the experience of NGOs in this regard demonstrates many attributes of good rehabilitation strategy which are worth considering by other countries.&nbsp; &nbsp; &nbsp

Donut-Shaped mmWave Printed Antenna Array for 5G Technology

This article presents compact and novel shape ring-slotted antenna array operating at mmwave band on central frequency of 28 GHz. The proposed structure designed at 0.256 mm thin Roggers 5880 is composed of a ring shape patch with a square slot etched at the top mid-section of partial ground plane. Through optimizing the ring and square slot parameters, a high bandwidth of 8 GHz is achieved, ranging from 26 to 32 GHz, with a simulated gain of 3.95 dBi and total efficiency of 96% for a single element. The proposed structure is further transformed in a 4-element linear array manner. With compact dimensions of 20 mm 22 mm for array, the proposed antenna delivers a high simulated gain of 10.7 dBi and is designed in such a way that it exhibits dual beam response over the entire band of interest and simulated results agree with fabricated prototype measurements

Language and Visual Deficits after Parietal Lobe Glioma Microsurgery

Objective: To see language and visual field outcome after high grade glioma excision of parietal lobe area.Study Design: It was observational experimental study.Setting: Department of neurosurgery unit 1, Lahore General Hospital, Lahore.Duration: Three years from March 2015 to April 2018.Inclusion Criteria: Both male and female of 13 to 56 yrs of age having intrinsic tumours in left or right parietal lobe area with midline shift, seizure and headache.Exclusion Criteria: Butterfly glioma, gliomatosis cerebri, lymphoma suspected on MRI brain, patient unfit for anaesthesia and surgery. The patients on anticoagulants and with bleeding disorder were also excluded from the surgery. The patients with chronic systemil ailment like renal failure, liver failure and ischemic heart disease were also excluded from the study.Material and Methods: Two hundred and forty one (241) patients were included in the study. All patients were prepared for the surgery and informed consent obtained from all patients. All patients under went microsurgical excision of the tumours and followed for 3 months. But forty patients lost to follow-up in three months.Results: Maximum tumor resection was attempted up to 99 percent. Median age was 47 years (13 – 56 years) and kernofsky performance scale was 75 percent at presentation. Most common presentation was seizure 76 percent, only 3.5 percent presented with parietal lobe syndromes. The most common deficit was language disturbance, which was also noticed in patients with right parietal lobe gliomas. Parietal lobe gliomas produce language and visual deficits in addition to other neurological dysfunction.Recommendations: Result can be improved by preoperative better localization with diffusion tensor tractography and peroperative cortical mapping.Conclusions: Microsurgical resection would increase language and visual deficits in tumors located on supramarginal and angular gyri which are reduced in postoperative period and become fixed in three months