Fixed points and apices on arbitrary sets

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

On Sets, Types, Fixed Points, and Checkerboards

Most current research on automated theorem proving is concerned with proving theorems of first-order logic. We discuss two examples which illustrate the advantages of using higher-order logic in certain contexts. For some purposes type theory is a much more convenient vehicle for formalizing mathematics than axiomatic set theory. Even theorems of first-order logic can sometimes be proven more e...

متن کامل

On Fixed Points and Determining Sets for Holomorphic Automorphisms

This paper considers the number of discrete fixed points that an automorphism (biholomorphic self-map) of a complex domain or manifold can have. Our results give a geometric formulation to the problem and its solution; they generalize classical theorems in one complex

متن کامل

Evaluating Polynomials at Fixed Sets of Points

We investigate the evaluation of an (n-1)st degree polynomial at a sequence of n points. It is shown that such an evaluation reduces directly to a simple convolution if and only if the sequence of points is of the form b, ba, ba2, ., ba for complex numbers a and b (the so-called "chirp transform"). By more complex reductions we develop an O(n log n) evaluation algorithm for sequences of points ...

متن کامل

Experimental results on quadrangulations of sets of fixed points

We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if possible and as “fat” or squarish as possible. For a given set of points a quadrangulation, if it exists, may not admit all its quadrilaterals to be convex. In such cases we desire that the quadrangulations have as many convex q...

متن کامل

Fixed Points of Asymptotically Regular Nonexpansive Mappings on Nonconvex Sets

It is shown that if X is a Banach space and C is a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets {Ci : 1≤ i≤ n} of X , and each Ci has the fixed-point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self-mapping of C has a fixed point. We also generalize the Goebel-Schöneberg theorem to some Banach...

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: Mathematica Moravica

سال: 2001

ISSN: 1450-5932,2560-5542

DOI: 10.5937/matmor0105111t