In this paper, we use a one-step iteration scheme to approximate common fixed points of two quasi-asymptotically nonexpansive mappings. We prove weak and strong convergence theorems in a uniformly convex Banach space. Our results generalize the corresponding results of Yao and Chen [15] to a wider class of mappings while extend those of Khan, Abbas and Khan [4] to an improved one-step iteration...

The Management of Chronic Pain; Caught Between a Rock and a Hard Place: The Case for a Renewed Focus on Provider, Patient, and Payer Education Talal W. Khan, and Farnad Imani Department of Anesthesiology and Pain Medicine, University of Kansas Medical Center, Kansas City, United States Pain Research Center, Department of Anesthesiology and Pain Medicine, Iran University of Medical Sciences (IUM...

No detailed information regarding pestilences in Bengal is available before the Mohammedan period. Farishta, a contemporary of Akbar, mentions the occurrence of bubonic plague in Bihar in 1548. A very devastating pestilence ravaged Gaur*, the medieval capital of Bengal, in 1573. During this epidemic ' Thousands died daily; living were wearied with burying the dead. Corpses of Hindus and Mohamme...

There are a lot of generalizations of the Banach contraction mapping principle in the literature. One of the most interesting of them is the result of Khan et al. 1 . They addressed a new category of fixed point problems for a single self-map with the help of a control function which they called an altering distance function. A function φ : 0,∞ → 0,∞ is called an altering distance function if φ...

By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation for aforementioned polynomial and derive some implicit summation formulae and general symmetric identities arising from different analytical means and generating functions ...

Recently, bio-information has been playing an important role in modern user authentication schemes. In 2004, Lin and Lai proposed a flexible biometrics remote user authentication scheme. However, their scheme is vulnerable and cannot provide mutual authentication between user and remote system. Hence, Khan and Zhang improved the security of a flexible biometrics remote user authentication schem...