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

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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.

Keywords

Poset , set-valued mapping , fixed point , solution , maximal , minimal , sup-center , inf-center , recursion principle , generalized iteration methods , order compact , chain complete
  • Seppo Heikkila Department of Mathematical Sciences, University of Oulu, BOX 3000, FIN-90014 University of Oulu, Finland.
  • Pages: 119–135
  • Date Published: 2008-12-01
  • Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

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Published

2008-12-01

How to Cite

[1]
S. Heikkila, “Fixed Point Results for Set-Valued and Single-Valued Mappings in Ordered Spaces”, CUBO, vol. 10, no. 4, pp. 119–135, Dec. 2008.