Some fixed-point theorems for multivalued monotone mappings in ordered uniform space.
Some generalizations of fixed point theorems in cone metric spaces.
Some homotopy theoretical questions arising in Nielsen coincidence theory
Basic examples show that coincidence theory is intimately related to central subjects of differential topology and homotopy theory such as Kervaire invariants and divisibility properties of Whitehead products and of Hopf invariants. We recall some recent results and ask a few questions which seem to be important for a more comprehensive understanding.
Some large and small sets in topological groups.
Some lemmas about dynamical systems.
Some monothetic subsemigroups of S(R).
Some New Examples of Gibbs Measures.
Some new results on common fixed points in certain topological spaces.
Some new weakly contractive type multimaps and fixed point results in metric spaces.
Some nonunique fixed point theorems of Ćirić type on cone metric spaces.
Some order theoretic characterizations of the 3-cell
Some problems concerning stability of fixed points
Some problems on Suslin spaces and topological algebras
Some properties of -convexity.
Some properties of linear right ideal nearrings.
Some properties of -dimensional generalized cubes
Some properties of weakly almost periodic mappings on compact spaces
Some qualitative problems in the theory of second order partial differential equations
Some questions of Arhangel'skii on rotoids
A rotoid is a space X with a special point e ∈ X and a homeomorphism F: X² → X² having F(x,x) = (x,e) and F(e,x) = (e,x) for every x ∈ X. If any point of X can be used as the point e, then X is called a strong rotoid. We study some general properties of rotoids and prove that the Sorgenfrey line is a strong rotoid, thereby answering several questions posed by A. V. Arhangel'skii, and we pose further questions.
Some random coincidence and random fixed point theorems for hybrid contractions.