About: Browder fixed-point theorem

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The Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if is a nonempty convex closed bounded set in uniformly convex Banach space and is a mapping of into itself such that (i.e. is non-expansive), then has a fixed point.

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  • The Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if is a nonempty convex closed bounded set in uniformly convex Banach space and is a mapping of into itself such that (i.e. is non-expansive), then has a fixed point. (en)
  • In matematica, il teorema di Browder-Göhde-Kirk è un teorema di punto fisso, dimostrato nel 1966. Stabilisce che un'applicazione non espansiva di un sottoinsieme limitato, chiuso, convesso di uno spazio di Banach in sé ha un punto fisso. (it)
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  • The Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if is a nonempty convex closed bounded set in uniformly convex Banach space and is a mapping of into itself such that (i.e. is non-expansive), then has a fixed point. (en)
  • In matematica, il teorema di Browder-Göhde-Kirk è un teorema di punto fisso, dimostrato nel 1966. Stabilisce che un'applicazione non espansiva di un sottoinsieme limitato, chiuso, convesso di uno spazio di Banach in sé ha un punto fisso. (it)
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  • Browder fixed-point theorem (en)
  • Teorema di Browder-Göhde-Kirk (it)
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