Results 251 to 260 of about 708,969 (305)

On the degree theory for general mappings of monotone type

open access: yesJournal of Mathematical Analysis and Applications, 2008
Degree theory has been developed as a tool for checking the solution existence of nonlinear equations. In his classic paper published in 1983, Browder developed a degree theory for mappings of monotone type f+T, where f is a mapping of class (S)+ from a ...
Ngai-Ching Wong
exaly   +2 more sources

An Approach to Homotopy and Degree Theory

Mathematics of Operations Research, 1979
Spawned by Scarf's pioneering work on the calculation of fixed points, an entire new field in mathematical programming has emerged. A wide array of problems that can be posed as fixed point problems, such as problems involving equilibria, games, systems of equations, global optimization, and structural mechanics, have come into the purview of these ...
C. B. GarcĂ­a, Willard I. Zangwill
openaire   +2 more sources

THE THEORY OF THE METARECURSIVELY ENUMERABLE DEGREES

Journal of Mathematical Logic, 2006
Sacks [23] asks if the metarecursively enumerable degrees are elementarily equivalent to the r.e. degrees. In unpublished work, Slaman and Shore proved that they are not. This paper provides a simpler proof of that result and characterizes the degree of the theory as [Formula: see text] or, equivalently, that of the truth set of [Formula: see text].
Noam Greenberg   +2 more
openaire   +1 more source

Equivariant Degree Theory

open access: yes, 2003
This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of ...
Jorge Ize, Alfonso Vignoli
openaire   +2 more sources

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