... Precup, Theorems of Leray-Schauder Type and Applications, vol. 3 of Series in Mathematical Analysis and Applications, Gordon and Breach, Amsterdam, The Netherlands, 2001.7 J. Dugundji and A. Granas, ... ≤maxur1pξrxpx,ur2pξrxpx|u|rxpξpxΩ|u|urxpxrxpxdx1.11Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 120646, 7 pagesdoi:10.1155/2010/120646 Research Article Existence and Localization ... to X is well defined, continuous, and order preserving. Consequently, K is a compact operator. On the other hand, it is clearthat the fixed points of K are the solutions of problem P. Now the...