Asymptotically regular mappings in modular function spaces

Let ρ be a modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. The main result in this paper states that if C is a ρ-bounded and ρ-a.e sequentially compact subset of Lρ and T : C → C is an asymptotically regular mapping such that lim inf n→∞ [Tn] < 2, where |S| denotes the Lipschitz constant of S, then T has a fixed point. We show that the estimate lim inf n→∞ [Tn] < 2 cannot be, in general, improved.Plan Andaluz de Investigación (Junta de Andalucía

God and the Argument from Consciousness: A Response to Lim

Recently, Daniel Lim has published a thoughtful critique of one form of my argument for the existence of God from consciousness (hereafter, AC).1 After stating his presentation of the relevant contours of my argument, I shall present the main components of his critique, followed by my response. Since one purpose of my publications of AC has been to foster discussion about a neglected argument for God’s existence, I am thankful to lim for his interesting article and the chance to further the discussion

Unexpected difficulty administering an epidural top-up for caesarean section

Publisher's copy made available with the permission of the publisher © Australian Society of AnaesthetistsP-C. Lim, A. Cynahttp://www.aaic.net.au/Article.asp?D=200121