2011 | OriginalPaper | Chapter
Fundamental Order-Theoretic Principles
Authors : Siegfried Carl, Seppo Heikkilä
Published in: Fixed Point Theory in Ordered Sets and Applications
Publisher: Springer New York
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In this chapter we use the Chain Generating Recursion Principle formulated in the Introduction to develop generalized iteration methods and to prove existence and comparison results for operator equations and inclusions in partially ordered sets. Algorithms are designed to solve concrete problems by appropriately constructed Maple programs.