PL 近似值的奥尼尔定理
IF 1.4
3区 数学
Q1 MATHEMATICS
引用次数: 0
摘要
我们提出了奥尼尔定理的一个版本（奥尼尔在 Am J Math 75(3):497-509, 1953 中的定理 5.2），用于片断线性近似。本文章由计算机程序翻译，如有差异，请以英文原文为准。
O’Neill’s theorem for PL approximations
We present a version of O’Neill’s theorem (Theorem 5.2 in O’Neill in Am J Math 75(3):497–509, 1953) for piecewise linear approximations.
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来源期刊
CiteScore
3.10
自引率
5.60%
发文量
68
审稿时长
>12 weeks
期刊介绍：
The Journal of Fixed Point Theory and Applications (JFPTA) provides a publication forum for an important research in all disciplines in which the use of tools of fixed point theory plays an essential role. Research topics include but are not limited to:
(i) New developments in fixed point theory as well as in related topological methods,
in particular:
Degree and fixed point index for various types of maps,
Algebraic topology methods in the context of the Leray-Schauder theory,
Lefschetz and Nielsen theories,
Borsuk-Ulam type results,
Vietoris fractions and fixed points for set-valued maps.
(ii) Ramifications to global analysis, dynamical systems and symplectic topology,
in particular:
Degree and Conley Index in the study of non-linear phenomena,
Lusternik-Schnirelmann and Morse theoretic methods,
Floer Homology and Hamiltonian Systems,
Elliptic complexes and the Atiyah-Bott fixed point theorem,
Symplectic fixed point theorems and results related to the Arnold Conjecture.
(iii) Significant applications in nonlinear analysis, mathematical economics and computation theory,
in particular:
Bifurcation theory and non-linear PDE-s,
Convex analysis and variational inequalities,
KKM-maps, theory of games and economics,
Fixed point algorithms for computing fixed points.
(iv) Contributions to important problems in geometry, fluid dynamics and mathematical physics,
in particular:
Global Riemannian geometry,
Nonlinear problems in fluid mechanics.
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