A general coincidence theory for set-valued maps.
A general existence principle for fixed point theorems in -metric spaces.
A general fixed point theorem
A generalisation of contraction principle in metric spaces.
A generalization of a contraction principle in probabilistic metric spaces. II.
A generalization of a fixed point theorem of Ćirić.
A Generalization Of Banach's Contraction Principle
A generalization of Banach's contraction principle.
A generalization of Caristi's fixed point theorem.
A generalization of Ćirić quasi-contraction
A generalization of fixed point theorems in -metric spaces
A generalization of Kannan's fixed point theorem.
A generalization of N. Aronszajn's theorem on connectedness of the fixed point set of a compact mapping
A generalization of Nadler's fixed point theorem.
A generalized version of the Gale-Nikaido-Debréu theorem
A Gregus type common fixed point theorem in normed spaces with applications.
A homological selection theorem implying a division theorem for Q-manifolds
We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and afterward...
A Kirk type characterization of completeness for partial metric spaces.
A Lefschetz-type coincidence theorem
A Lefschetz-type coincidence theorem for two maps f,g: X → Y from an arbitrary topological space to a manifold is given: , that is, the coincidence index is equal to the Lefschetz number. It follows that if then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y Euclidean, f with acyclic fibres. It also implies certain fixed point results for multivalued maps with “point-like” (acyclic)...
A limit formula for regular iteration groups.