A fix-point theorem with econometric background: Part I. The theorem
نویسندگان
چکیده
منابع مشابه
Fix Point Theorem for Compact Spaces
The articles [10], [11], [1], [5], [8], [7], [12], [3], [9], [4], [2], and [6] provide the notation and terminology for this paper. In this paper M denotes a non empty metric space. One can prove the following proposition (1) Let F be a set. Suppose F is finite and F 6= / 0 and F is ⊆-linear. Then there exists a set m such that m ∈ F and for every set C such that C ∈ F holds m⊆C. Let M be a non...
متن کاملExtending the Calculus of Constructions with Tarski's fix-point theorem
We propose to use Tarski’s least fixpoint theorem as a basis to define recursive functions in the calculus of inductive constructions. This widens the class of functions that can be modeled in typetheory based theorem proving tool to potentially non-terminating functions. This is only possible if we extend the logical framework by adding the axioms that correspond to classical logic. We claim t...
متن کاملThe Nagata - Smirnov Theorem . Part I 1
In this paper we define a discrete subset family of a topological space and basis sigma locally finite and sigma discrete. First, we prove an auxiliary fact for discrete family and sigma locally finite and sigma discrete basis. We also show the necessary condition for the Nagata Smirnov theorem: every metrizable space is T3 and has a sigma locally finite basis. Also, we define a sufficient cond...
متن کاملA Common Fixed Point Theorem Using an Iterative Method
Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence ${alpha_{n}}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={alpha}_{n}{x}_{n}+(1-{alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize thei...
متن کاملVector ultrametric spaces and a fixed point theorem for correspondences
In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric 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: Arkiv för Matematik
سال: 1966
ISSN: 0004-2080
DOI: 10.1007/bf02592030