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| 1 | FIXED POINTS OF α-TYPE F-CONTRACTIVE MAPPINGS WITH AN APPLICATION TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION显示文摘In this paper,we introduce new concepts of α-type F-contractive mappings which are essentially weaker than the class of F-contractive mappings given in [21,22] and different from α-GF-contractions given in [8].Then,sufficient conditions for the existence and uniqueness of fixed point are established for these new types of contractive mappings,in the setting of complete metric space.Consequently,the obtained results encompass various generalizations of the Banach contraction principle.Moreover,some examples and an application to nonlinear fractional differential equation are given to illustrate the usability of the new theory. | Dhananjay GOPAL Mujahid ABBAS Deepesh Kumar PATEL Calogero VETRO | 2016 | Acta Mathematica Scientia2016，36，3： | 3 |
| 2 | Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme显示文摘 | Mujahid Abbas Safeer H Khan | 2011 | Appl Math Lett2011，24，： | 1 |
| 3 | Coupled fixed point of generalized contractive mappings on partially ordered G-metric spaces显示文摘 | Mujahid Abbas Wutiphol Sintunavarat Poom Kumam | 2012 | Fixed Point Theory and Applications2012，，： | 1 |
| 4 | Platelet count to splenic diameter ratio and splenoportal index as non-invasive screening tools in predicting esophageal varices in patients with liver cirrhosis显示文摘 | WADHWA R K ABBAS Z MUJAHID H S | 2015 | Journal of Translational Internal Medicine2015，2，3： | 1 |
| 5 | National guidelines for the diagnosis and treatment of hilar cholangiocarcinoma显示文摘A consensus meeting of national experts from all major national hepatobiliary centres in the country was held on May 26,2023,at the Pakistan Kidney and Liver Institute&Research Centre(PKLI&RC)after initial consultations with the experts.The Pakistan Society for the Study of Liver Diseases(PSSLD)and PKLI&RC jointly organised this meeting.This effort was based on a comprehensive literature review to establish national practice guidelines for hilar cholangiocarcinoma(hCCA).The consensus was that hCCA is a complex disease and requires a multidisciplinary team approach to best manage these patients.This coordinated effort can minimise delays and give patients a chance for curative treatment and effective palliation.The diagnostic and staging workup includes high-quality computed tomography,magnetic resonance imaging,and magnetic resonance cholangiopancreato-graphy.Brush cytology or biopsy utilizing endoscopic retrograde cholangiopancreatography is a mainstay for diagnosis.However,histopathologic confirmation is not always required before resection.Endoscopic ultrasound with fine needle aspiration of regional lymph nodes and positron emission tomography scan are valuable adjuncts for staging.The only curative treatment is the surgical resection of the biliary tree based on the Bismuth-Corlette classification.Selected patients with unresectable hCCA can be considered for liver transplantation.Adjuvant chemotherapy should be offered to patients with a high risk of recurrence.The use of preoperative biliary drainage and the need for portal vein embolisation should be based on local multidisciplinary discussions.Patients with acute cholangitis can be drained with endoscopic or percutaneous biliary drainage.Palliative chemotherapy with cisplatin and gemcitabine has shown improved survival in patients with irresectable and recurrent hCCA. | Faisal Saud Dar Zaigham Abbas Irfan Ahmed Muhammad Atique Usman Iqbal Aujla Muhammad Azeemuddin Zeba Aziz Abu Bakar Hafeez Bhatti Tariq Ali Bangash Amna Subhan Butt Osama Tariq Butt Abdul Wahab Dogar Javed Iqbal Farooqi Faisal Hanif Jahanzaib Haider Siraj Haider Syed Mujahid Hassan Adnan Abdul Jabbar Aman Nawaz Khan Muhammad Shoaib Khan Muhammad Yasir Khan Amer Latif Nasir Hassan Luck Ahmad Karim Malik Kamran Rashid Sohail Rashid Mohammad Salih Abdullah Saeed Amjad Salamat Ghias-un-Nabi Tayyab Aasim Yusuf Haseeb Haider Zia Ammara Naveed | 2024 | World Journal of Gastroenterology2024，30，9： | 0 |
| 6 | APPROXIMATING COMMON FIXED POINTS OF NEARLY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS显示文摘We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings.We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansive mappings and those of [9] not only to a larger class of mappings but also with better rate of convergence. | Safeer Hussain Khan Mujahid Abbas | 2011 | Analysis in Theory and Applications2011，27，1： | 0 |
| 7 | Fixed Points of Multivalued Quasi-nonexpansive Mappings Using a Faster Iterative Process显示文摘In this article,we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces.The iterative process used is independent of Ishikawa iterative process and converges faster.Some examples are provided to validate our results.Our results extend and unify some results in the contemporary literature. | Safeer Hussain KHAN Mujahid ABBAS Sartaj ALI | 2014 | Acta Mathematica Sinica,English Series2014，30，7： | 0 |
| 8 | A Stochastic Model to Assess the Epidemiological Impact of Vaccine Booster Doses on COVID-19 and Viral Hepatitis B Co-Dynamics with Real Data显示文摘A patient co-infected with COVID-19 and viral hepatitis B can be atmore risk of severe complications than the one infected with a single infection.This study develops a comprehensive stochastic model to assess the epidemiological impact of vaccine booster doses on the co-dynamics of viral hepatitis B and COVID-19.The model is fitted to real COVID-19 data from Pakistan.The proposed model incorporates logistic growth and saturated incidence functions.Rigorous analyses using the tools of stochastic calculus,are performed to study appropriate conditions for the existence of unique global solutions,stationary distribution in the sense of ergodicity and disease extinction.The stochastic threshold estimated from the data fitting is given by:R_(0)^(S)=3.0651.Numerical assessments are implemented to illustrate the impact of double-dose vaccination and saturated incidence functions on the dynamics of both diseases.The effects of stochastic white noise intensities are also highlighted. | Andrew Omame Mujahid Abbas Dumitru Baleanu | 2024 | Computer Modeling in Engineering & Sciences2024，138，3： | 0 |
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