Krasnosel'skii and Ky Fan type fixed point theorems in ordered banach spaces

A common fixed point theorem for a condensing map S and a 1-set contractive map T; defined on a closed convex subset of an ordered Banach space, is proved. As applications, a number of Krasnosel' skii type fixed point theorems, iterative approximation of common fixed points and Ky Fan type approxima-tion theorems for various classes of 1-set contractive and 1-ball contractive maps (e.g. operators of contractive type with compact or completely continuous per-turbations, operators of semicontractive type, pseudo-contractive maps etc.) are derived. Moreover, an integral equation is solved as an application of our main result.