منابع مشابه
Topological degree theory and local analysis of area preserving maps
We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations to the Kronecker integral give the number of fixed points of the map provided that the integration step is ‘‘small enough.’’ Since in any neighborhood of a fixed point the map gets four different combinations of its algebraic signs we use points on a lattice to...
متن کاملDegree Theory beyond Continuous Maps
I am very honoured and pleased to participate in the commemoration of the 50 th anniversary of the founding of the CWI of the Dutch Foundation Mathematical Centre. The subject of my talk is concerned not with diierential equations but with something that is used all the time in various nonlinear analytic problems , namely degree theory. It seems particularly appropriate to speak on this subject...
متن کاملStructure of the Fixed Point of Condensing Set-Valued Maps
In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.
متن کاملCondensing operators and topological degree theory in standard fuzzy normed spaces
In this paper level-cut measures of noncompactness are introduced in standard fuzzy normed spaces and condensing operators are studied. Using the extensions of nonlinear compact operators, topological degree theory with respect to condensing operators is given in standard fuzzy normed spaces. As an application of degree theory, a fixed point theorem for condensing operators is presented. © 2009...
متن کاملFixed Point Theory for Multivalued Maps in Fréchet Spaces via Degree and Index Theory
New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1972
ISSN: 0022-247X
DOI: 10.1016/0022-247x(72)90253-3