we introduce a new one-step iteration process to approximate common fixed points of twononexpansive mappings in banach spaces and prove weak convergence of the iterative sequence using (i)opial’s condition and (ii) kadec-klee property. strong convergence theorems are also established in banachspaces and uniformly convex banach spaces under the so-called condition ( a ), which is weaker thancom...

This article addresses some of the key issues in developing culturally relevant approaches to drug abuse treatment and recovery, using the HAFC/Glide African-American Extended Family Program as a positive example of effective cultural adaptability within recovery. Cultural points of resistance to the recovery process are also addressed, including the perception that 12-Step fellowships are excl...

In this paper, we introduce a two-step iterative algorithm to prove a strong convergence result for approximating common fixed points of three contractive-like operators. Our algorithm basically generalizes an existing algorithm..Our iterative algorithm also contains two famous iterative algorithms: Mann iterative algorithm and Ishikawa iterative algorithm. Thus our result generalizes the corre...

The detectability of planetesimal impacts on imaged exoplanets can be measured using Jupiter during the 1994 comet Shoemaker-Levy 9 events as a proxy. By integrating the whole planet flux with and without impact spots, the effect of the impacts at wavelengths from 2 4 μm is revealed. Jupiter’s reflected light spectrum in the near-infrared is dominated by its methane opacity including a deep ban...

In this paper, a new algorithm to solve the discrete logarithm problem is presented which is similar to the usual baby-step giant-step algorithm. Our algorithm exploits the order of the discrete logarithm in the multiplicative group of a finite field. Using randomization with parallelized collision search, our algorithm indicates some weakness in NIST curves over prime fields which are consider...

We study the giant magnon solutions in the near horizon geometry of the Neveu-Schwarz (NS) 5-brane background. In conformal gauge, we find magnon dispersion relation in the large angular momentum (J) limit. We further show that the giant magnon poses uniform distribution of the angular momentum along the string world-sheet as in case of AdS5 × S5 spacetime.

Modeling Microdomain Evolution on Giant Unilamellar Vesicles using a Phase-Field Approach by Anand Embar Department of Civil and Environmental Engineering Duke University

Despite common belief, Baby Boomers form a sizable population of gamers. Paying attention to how this generation experiences a game can help companies that target this group of users increase their market share. To address this need, this study examines Baby Boomers’ reaction to a new way of manipulating objects in a game, namely with their eyes. In particular, the study focuses on testing the ...

We analyze the energy and angular momenta of the two-spin spiky string moving on the AdS3×S with NS-NS field. Due to the infinite boundary of the AdS spacetime the solution will extend to infinity and it appears the divergences. After adding the counter terms we then obtain the dispersion relation of the corresponding giant magnon and see how the background field produces the correction terms. ...