Common fixed points of two isotone maps on a complete lattice

Common Fixed Points of Two Commuting Mappings in Complete Metric Spaces

Common fixed points of two maps in cone metric spaces

We prove the existence of points of coincidence and common fixed points of a pair of self mappings satisfying a generalized contractive condition in cone metric spaces. Our results generalize several well-known recent and classical results.

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

Isotone maps on lattices

Let L = (Li | i ∈ I) be a family of lattices in a nontrivial lattice variety V, and let φi : Li → M , for i ∈ I, be isotone maps (not assumed to be lattice homomorphisms) to a common lattice M (not assumed to lie in V). We show that the maps φi can be extended to an isotone map φ : L → M , where L = FreeV L is the free product of the Li in V. This was known for L = V, the variety of all lattice...

common fixed points of two commuting mappings in complete metric spaces