A counterexample to “An extension of Gregus fixed point theorem”.
A counterexample to ”Common fixed point theorem in probabilistic quasi-metric spaces".
A coupled coincidence point theorem in partially ordered metric spaces
A cylinder flow arising from irregularity of distribution
A decomposition theorem for compact groups with an application to supercompactness
We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
A degree theory for almost continuous functions
A density property of the tori and duality
A direct description of uniform completion in locales and a characterization of -groups
A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle.
A disjointness theorem involving topological entropy
A double-sequence random iteration process for random fixed points of contractive type random operators.
A dual of the compression-expansion fixed point theorems.
A few Remarks on Reduced Ideal-products
A fixed point approach to the stability of a functional equation of the spiral of Theodorus.
A fixed point approach to the stability of Pexider quadratic functional equation with involution.
A fixed point approach to the stability of quadratic functional equation with involution.
A fixed point conjecture for Borsuk continuous set-valued mappings
The main result of this paper is that for n = 3,4,5 and k = n-2, every Borsuk continuous set-valued map of the closed ball in the n-dimensional Euclidean space with values which are one-point sets or sets homeomorphic to the k-sphere has a fixed point. Our approach fails for (k,n) = (1,4). A relevant counterexample (for the homological method, not for the fixed point conjecture) is indicated.
A Fixed Point Index Theory for Symmetric Product Mappings.
A fixed point principle for locally expansive multifunctions
A fixed point result of Seghal-Smithson type