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A Fixed Point Theorem Revisited, Alberta Bollenbacher, Troy L. Hicks
A Fixed Point Theorem Revisited, Alberta Bollenbacher, Troy L. Hicks
Mathematics and Statistics Faculty Research & Creative Works
A version of a theorem commonly referred to as Caristi's Theorem is given. It has an elementary constructive proof, and it includes many generalizations of Banach's fixed point theorem. Several examples illustrate the diversity that can occur. © 1988 American Mathematical Society.