Typical intersections of continuous functions with monotone functions

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds

If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of  graph(f) is as big as possible and the lower box dimension of graph(f) is as small as possible.  

متن کامل

Inverting Monotone Continuous Functions in Constructive Analysis

We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a realizing term extracted. This term can be applied to concrete continuous functions and arguments, and then normalized to a rational approximation of say a zero of a given function. It turns out that even in the logi...

متن کامل

Fitzpatrick Functions and Continuous Linear Monotone Operators

The notion of a maximal monotone operator is crucial in optimization as it captures both the subdifferential operator of a convex, lower semicontinuous, and proper function and any (not necessarily symmetric) continuous linear positive operator. It was recently discovered that most fundamental results on maximal monotone operators allow simpler proofs utilizing Fitzpatrick functions. In this pa...

متن کامل

On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions

Let I a, b , J c, d be closed, bounded, and nondegenerate i.e., neither of them consists of a single point real intervals, and let f : I → I, F : J → J be continuous functions. The aim of this paper is to discuss, under some additional assumptions on the maps f and F, the problem of topological conjugacy of f and F. More precisely, we investigate the existence and uniqueness of solutions φ : I ...

متن کامل

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

متن کامل

ذخیره 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: Proceedings of the American Mathematical Society

سال: 1993

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1993-1159171-0