A remark on R. G. Woods' paper "The minimum uniform compactification of a metric space" (Fund. Math. 147 (1995), 39–59)
A question raised in R. G. Woods' paper has a simple solution.
A remark on Rhoades fixed point theorem for non-self mappings.
A remark on second order functional-differential systems
It is proved that under some conditions the set of solutions to initial value problem for second order functional differential system on an unbounded interval is a compact -set and hence nonvoid, compact and connected set in a Fréchet space. The proof is based on a Kubáček’s theorem.
A remark on small divisors problems
A remark on supra-additive and supra-multiplicative operators on
M. Radulescu proved the following result: Let be a compact Hausdorff topological space and a supra-additive and supra-multiplicative operator. Then is linear and multiplicative. We generalize this result to arbitrary topological spaces.
A remark on the equivalence of certain dimension functions
A remark on the Moore theorem.
A Remark on the Paper ''Fixed Point Mappings on Compact Metric Spaces''
A remark on the retracting of a ball onto a sphere in an infinite dimensional Hilbert space.
A remark on the tightness of products
We observe the existence of a -compact, separable topological group and a countable topological group such that the tightness of is countable, but the tightness of is equal to .
A Remark on the Topological Entropy of Homeomorphisms.
A remark on the uniformization in metric ѕpaces
A remark on the uniqueness of quasi continuous functions.
A remark on the weak topology of the Hilbert space
A Remark on Variational Principles of Choban, Kenderov and Revalski
We consider some variational principles in the spaces C*(X) of bounded continuous functions on metrizable spaces X, introduced by M. M. Choban, P. S. Kenderov and J. P. Revalski. In particular we give an answer (consistent with ZFC) to a question stated by these authors.
A remark on -regular spaces.
A representation theorem for probabilistic metric spaces in general
In this paper, we present a representation theorem for probabilistic metric spaces in general.
A research on characterizations of semi- spaces.
A rest point free dynamical system on with uniformly bounded trajectories
A result for approximating fixed points of generalized weak contraction of the integral-type by using Picard iteration.