Back
Published On

Two Generalizations of Brouwer Fixed Point Theorem

Abstract

The following fixed point theorems are given: (1) If X is a Hausdorff and compact space and g : X → X is a one one continuous function, then g has a fixed point. (2) If X is a compact, Hausdorff and second countable space and f : X → X is a contraction mapping, then f has a fixed point. Two proofs of Theorem 1 are given, one using sequences and the other using ultrafilters. These theorems generalize the Brouwer Fixed Point Theorem.

Keywords

NA

  • License

    Creative Commons Attribution 4.0 (CC BY 4.0)

  • Language & Pages

    English, NA

Next Research
Copy of Cardiovascular Risk Factors and Cardiovascular Risk in People Living with HIV: Comparison of Four Cardiovascular Risk Prediction Algorithms