A note on Kellogg’s uniqueness theorem for fixed points
Louis A. Talman · Proceedings of the American Mathematical Society · 1978
In 1975, R. B. Kellogg gave a condition guaranteeing uniqueness for the fixed point whose existence is insured by the Schauder Theorem. In this note, we indicate how to extend Kellogg’s result to the class of k -set-contractions.