Fixed-point theorems in infinite-dimensional spaces: Difference between revisions

Revision as of 18:58, 28 May 2004

Revision as of 09:00, 1 June 2004

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[[Category:Functional analysis]]

[[Category:Theorems]]

In [[mathematics]], a number of '''[[fixed point (mathematics)|fixed point]] theorems in infinite-dimensional spaces''' generalise the [[Brouwer fixed point theorem]]. They have applications, for example, to the proof of [[existence theorem]]s for [[partial differential equation]]s. The research of [[Jean Leray]] that proved influential for [[algebraic topology]] and [[sheaf theory]] was motivated by the need to go beyond the '''Schauder fixed point theorem''', proved in 1930 by [[Juliusz Schauder]].