... Publishing CorporationFixed Point Theory and ApplicationsVolume 2011, Article ID 979586, 10 pagesdoi:10.1155/2011/979586 Research Article Fixed-Point Results for Generalized Contractionson Ordered ... x0 ∈ X≤ and x0,cx, x0 ∈ X≤. From t he second relation, a s before, we get, for each α ∈Λ,thatdαfnx0,fncx, x0 ≤ ϕndαx0,cx, x0,foreachn ∈ and hencefncx, ... above technique for other metrical fixed-point theorems, see 15, 16, and so forth.References1 J. Dugundji, Topology, Allyn and Bacon, Boston, Mass, USA, 1966.2 A. C. M. Ran and M. C. B....