The most interesting current open question in the theory of GRB afterglow is the propagation of jetted afterglows during the sideway expansion phase. Recent numerical simulations show hydrodynamic behavior that differs from the one suggested by simple analytic models. Still, somewhat surprisingly, the calculated light curves show a ‘jet break’ at about the expected time. These results suggest t...

The research reported in this paper has both a scientific and a commercial aim. The scientific interest is to explore the use of contexts in order to improve the quality of information brokering. In this paper it is shown that contexts in information brokering can be exploited to enable four directions of query reformulation: up and down (standard query expansion) and sideway reformulations of ...

Recently, Azam, Arshad and Beg introduced the notion of cone rectangular metric spaces by replacing the triangular inequality of a cone metric space by a rectangular inequality. In this paper, we extend the Kannan’s fixed point theorem in such spaces.

* Correspondence: poom. [email protected] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand Abstract Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition. In this article, we extend and improve the condi...

We establish some common fixed point theorems for Kannan fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theorem of multivalued mappings with closed values. In real world problems there are various mathematical models in which the mappings are contractive on the subset of...

A folded loop antenna for handsets has already been introduced and shown as one of balanced feed antennas for handsets, which is very effective to mitigate the antenna performance degradation due to the body effect. In addition, to be lower profile of folded loop antenna, Built-in folded dipole antenna, which has a structure folded loop elements sideway so that the antenna can be placed on the ...

This paper presents some results of a study, which aimed at modelling pavement evolution by different methods. In a first part, a database was constituted with data collected on French roads in the last decades. The database contains skid resistance values (Sideway Force Coefficient measured by SCRIM/Sideway force Coefficient Routine Investigation Machine), macrotexture values (Mean Profile Dep...

In this paper, we extend and improve the condition of contraction of results of Azam et al. for two single-valued mappings on a closed ball in complex valued metric spaces.

Summeya Munawar, Muhammad Awais Ghani, Basharat Ali, Azam, Zahid Rashid, Romana Anjum, Sarwar, Tanveer Ahmad, Anam Noor, Qumer Iqbal, Kaiser Latif Cheema, Muzammil Jahangir, Jahanzeb Mehran Abbas