Fixed Point Results for Set-Valued and Single-Valued Mappings in Ordered Spaces

Seppo Heikkila

Fixed Point Results for Set-Valued and Single-Valued Mappings in Ordered Spaces

Authors

Seppo Heikkila Department of Mathematical Sciences, University of Oulu, BOX 3000, FIN-90014 University of Oulu, Finland.

Keywords:

Poset, set-valued mapping, fixed point, solution, maximal, minimal, sup-center, inf-center, recursion principle, generalized iteration methods, order compact, chain complete

Abstract

In this article we use a recursion principle and generalized iteration methods to prove existence and comparison results for fixed points of set- and single-valued mappings in ordered spaces.