-абсолют и интегрируемые по Риману функции.
Observations on a variant of compatibility.
On 1/2-homogeneous ANR spaces
On a certain map of a triangle
The paper answers some questions asked by Sharkovski concerning the map F:(u,v) ↦ (u(4-u-v),uv) of the triangle Δ = u,v ≥ 0: u+v ≤ 4. We construct an absolutely continuous σ-finite invariant measure for F. We also prove the following strange phenomenon. The preimages of side I = Δ ∩ v=0 form a dense subset of Δ and there is another dense set Λ consisting of points whose orbits approach the interval I but are not attracted by I.
On a class of continuous flow.
On a class of indecomposable continua
On a class of spaces for which the fixed-point property is characterized by homology groups
On a classification of pointwise compact sets of the first Baire class functions
On a common fixed point for sequence of selfmappings in generalized metric space.
On A Common Fixed Point Theorem Of A Greguš Type
On a compactification of the homeomorphism group of the pseudo-arc
A continuum means a compact connected metric space. For a continuum X, H(X) denotes the space of all homeomorphisms of X with the compact-open topology. It is well known that H(X) is a completely metrizable, separable topological group. J. Kennedy [8] considered a compactification of H(X) and studied its properties when X has various types of homogeneity. In this paper we are concerned with the compactification of the homeomorphism group of the pseudo-arc P, which is obtained by the method of...
On a contractivity condition in fixed point theory and the theory of selections
On a covering group theorem and its applications.
On a Dimension for a Class of Homeomorphism Groups.
On a discrete version of the antipodal theorem
The classical theorem of Borsuk and Ulam [2] says that for any continuous mapping there exists a point such that f(-x) = f(x). In this note a discrete version of the antipodal theorem is proved in which is replaced by the set of vertices of a high-dimensional cube equipped with Hamming’s metric. In place of equality we obtain some optimal estimates of which were previously known (as far as the author knows) only for f linear (cf. [1]).
On a family of contractive maps and fixed points
On a fixed point theorem in metric space
On a fixed point theorem of Fisher and Sessa.
On a fixed point theorem of Greguš.
On a fixed point theorem of Krasnoselskii and triangle contractive operators