A result for approximating fixed points of generalized weak contraction of the integral-type by using Picard iteration.
A result on best approximation in -normed spaces
We study best approximation in -normed spaces via a general common fixed point principle. Our results unify and extend some known results of Carbone [ca:pt], Dotson [do:bs], Jungck and Sessa [ju:at], Singh [si:at] and many of others.
A reversed Kakutani's fixed point theorem.
A sandwich theorem for monotone additive functions.
A scenario for transferring high scores
A selection and a fixed point theorem and an equilibrium point of an abstract economy.
A separation theorem and applications to Borel sets
A Simple Proof of Borel's Density Theorem.
A solution to Comfort's question on the countable compactness of powers of a topological group
In 1990, Comfort asked Question 477 in the survey book “Open Problems in Topology”: Is there, for every (not necessarily infinite) cardinal number , a topological group G such that is countably compact for all cardinals γ < α, but is not countably compact? Hart and van Mill showed in 1991 that α = 2 answers this question affirmatively under . Recently, Tomita showed that every finite cardinal answers Comfort’s question in the affirmative, also from . However, the question has remained...
A stabilization property and its applications in the theory of sections
A strong boundedness result for separable Rosenthal compacta
It is proved that the class of separable Rosenthal compacta on the Cantor set having a uniformly bounded dense sequence of continuous functions is strongly bounded.
A Surjectivity Result For Nonlinear Mappings On Uniform Spaces And Applications.
A survey of minimal sets
A survey of results on density modulo of double sequences containing algebraic numbers
In this survey article we start from the famous Furstenberg theorem on non-lacunary semigroups of integers, and next we present its generalizations and some related results.
A SURVEY OF SEMIGROUPS OF CONTINUOUS SELFMAPS.
A survey of separable descriptive theory of sets and spaces
A theorem of Meir-Keeler type revisited.
A theorem of Šarkovskii characterizing continuous maps of zero topological entropy
A Theorem of the Closed Graph Type.
A theorem on coincidence point for a family of mappings.