Banach fixed-point theorem Bekić's theorem Borel fixed-point theorem Bourbaki–Witt theorem Browder fixed-point theorem Brouwer fixed-point theorem Rothe's...

The Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if K {\displaystyle...

In mathematics, a number of fixed-point theorems in infinite-dimensional spaces generalise the Brouwer fixed-point theorem. They have applications, for...

Felix Earl Browder (/ˈbraʊdər/; July 31, 1927 – December 10, 2016) was an American mathematician known for his work in nonlinear functional analysis....

In 2000 Browder published his article "Topology in the Complex Plane", which described the Brouwer fixed point theorem, the Jordan curve theorem, and Alexander...

Hausdorff maximality theorem (set theory) Kleene fixed-point theorem (order theory) Knaster–Tarski theorem (order theory) Kruskal's tree theorem (order theory)...

of Chicago with thesis The Fixed Point Index and Fixed Point Theorems for K-Set Contractions supervised by Felix Browder. At Rutgers University Nussbaum...

functional analysis, especially convex sets and the topological fixed-point theorem, rather than the traditional differential calculus, because the maximum-operator...

theorem Freudenthal suspension theorem Hurewicz theorem Künneth theorem Lefschetz fixed-point theorem Leray–Hirsch theorem Poincaré duality theorem Seifert–van...

Lefschetz fixed-point theorem holds in the setting of equivariant (algebraic) K-theory. Let X be an equivariant algebraic scheme. Localization theorem—Given...

Hilbert's Problems, Proceedings of Symposia in Pure Mathematics XXVIII, F. Browder, editor. American Mathematical Society, 1976, pp. 81–92. ISBN 0-8218-1428-1...

Desargues's theorem: If two triangles lie on a plane such that the lines connecting corresponding vertices of the triangles meet at one point, then the...

1925 and the American Philosophical Society in 1929. The Lefschetz fixed-point theorem, now a basic result of topology, was developed by him in papers from...

3-sphere. This showed the existence of an involution on the 3-sphere with fixed point set equal to a wildly embedded 2-sphere, which meant that the original...

relativity. He proved the Jordan curve theorem in 1905; while this was long considered the first rigorous proof of the theorem, many now also consider Camille...

pushforward for Chow groups. The Grothendieck–Riemann–Roch theorem says that these are equal. When Y is a point, a vector bundle is a vector space, the class of...

possible to prove that solutions exist using the continuity method or a fixed point theorem. A priori estimates were introduced and named by Sergei Natanovich...

symmetric and nonnegative.[BL83a] By adapting the critical point methods of Felix Browder, Paul Rabinowitz, and others, Berestycki and Lions also demonstrated...

obstruction vanishes. In the classical approach, as developed by William Browder, Sergei Novikov, Dennis Sullivan, and C. T. C. Wall, surgery is done on...

1900–1950 (Luxembourg, 1992), 479–515, Birkhäuser, Basel. Brezis, Haïm; Browder, Felix (1998). "Partial Differential Equations in the 20th Century". Advances...

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or...

wrote several major retrospectives of flows, pseudoanalytic functions, fixed point methods, Riemann surface theory prior to his work on moduli, and the...

the Graham–Rothschild theorem in the Ramsey theory of parameter words and Graham's number derived from it, the Graham–Pollak theorem and Graham's pebbling...

Arnold, Vladimir (1976), "Problems in present day mathematics", in Felix E. Browder (ed.), Mathematical developments arising from Hilbert problems, Proceedings...

Methods of Mathematical Economics: Linear and Nonlinear Programming. Fixed-Point Theorems. ISBN 978-0-387-90481-8. Macki, Jack; Strauss, Aaron (1981). Introduction...

-{\frac {1}{M(f)}},} which quantifies the Uniform Monotonicity Theorem due to Browder & Minty (1963). Germund Dahlquist, "Stability and error bounds in...

two-dimensional analysis situs with special reference to the Jordan curve-theorem" in Fundamenta Mathematicae. 1943: Euphemia Lofton Haynes is the first...