This book from A Fixed Point Theorem by Walter T. Kyner surveys how fixed-point results tie to differential equations, invariant functions, and Lipschitz conditions. It shows how existence and uniqueness can come from careful operator analysis and compactness arguments.

Learn how linear transforms and inverses are used to build a fixed point for a function.
See how Schauder’s theorem helps establish existence on a carefully chosen compact set.
Understand how Lipschitz constants and uniform bounds ensure stability and continuous dependence on parameters.
Discover connections to Marcus’ and Hufford’s results and how they influence the approach.

Ideal for readers of advanced mathematics and applied analysis who want a rigorous view of fixed-point methods in differential equations.

"About this title" may belong to another edition of this title.

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