In this paper, we first give a characterization of sub-topical functions with respect to their lower level sets and epigraph. Next, by using two different classes of elementary functions, we present a characterization of sub-topical functions with respect to their polar functions, and investigate the relation between polar functions and support sets of this class of functions. Finally, we obtai...

This paper deals with topical and sub-topical functions in a class of ordered Banach spaces. The separation theorem for downward sets and sub-topical functions is given. It is established some best approximation problems by sub-topical functions and we will characterize sub-topical functions as superimum of elementary sub-topical functions.

We consider functions F : R n ! R n which are homogeneous and nonexpansive in thè 1 norm. We refer to these as topical functions. We study the existence of the cycle time vector (F) = lim k!1 F k (~ x)=k, which, if it exists, is independent of ~ x 2 R n. For a restricted class of topical functions, the cycle time is known to be implicated in the existence of xed points and this provides the mot...

introduction vitiligo is an acquired pigmentary disorder of the skin and has significant harmful effects on the appearance and consequently social functions of the patients. there is no universally effective treatment for this disease, but topical steroids and levamisole have been used. this study evaluates the effects of levamisole and clobetasol with that of clobetasol in the treatment of vit...

Application of topical medication remains an essential component of clinical physiotherapy practice but previous reports have revealed poor knowledge of medications among Nigerian physiotherapists. Also, there are arrays of topical medications available but there is envelope of doubts on what determines the choice of Nigerian physiotherapists. The primary aims of this study were to investigate ...