Cofinal families in certain function spaces
Coherent and strong expansions of spaces coincide
In the existing literature there are several constructions of the strong shape category of topological spaces. In the one due to Yu. T. Lisitsa and S. Mardešić [LM1-3] an essential role is played by coherent polyhedral (ANR) expansions of spaces. Such expansions always exist, because every space admits a polyhedral resolution, resolutions are strong expansions and strong expansions are always coherent. The purpose of this paper is to prove that conversely, every coherent polyhedral (ANR) expansion...
Coherent spaces constructively
Coherent ultrafilters and nonhomogeneity
We introduce the notion of a coherent -ultrafilter on a complete ccc Boolean algebra, strengthening the notion of a -point on , and show that these ultrafilters exist generically under . This improves the known existence result of Ketonen [On the existence of -points in the Stone-Čech compactification of integers, Fund. Math. 92 (1976), 91–94]. Similarly, the existence theorem of Canjar [On the generic existence of special ultrafilters, Proc. Amer. Math. Soc. 110 (1990), no. 1, 233–241] can...
Cohomology and asymptotic stabiltiy of 1-dimensional.
Cohomology, dimension and large Riemannian manifolds.
Coincidence and common fixed point theorems in compact Hausdorff spaces.
Coincidence and fixed point theorems for nonlinear hybrid generalized contractions
In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.
Coincidence and fixed point theorems in metric and Banach spaces.
Coincidence and fixed points for compatible and relatively nonexpansive maps.
Coincidence and fixed points of nonlinear hybrid contractions.
Coincidence of maps in Q-simplicial spaces
Coincidence of Vietoris and Wijsman Topologies: A New Proof
Let (X, d) be a metric space and CL(X) the family of all nonempty closed subsets of X. We provide a new proof of the fact that the coincidence of the Vietoris and Wijsman topologies induced by the metric d forces X to be a compact space. In the literature only a more involved and indirect proof using the proximal topology is known. Here we do not need this intermediate step. Moreover we prove that (X, d) is boundedly compact if and only if the bounded Vietoris and Wijsman topologies on CL(X) coincide....
Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition.
Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces.
Coincidence point theorems for multivalued mappings.
Coincidence point theorems in certain topological spaces
In this paper, we establish some new versions of coincidence point theorems for single-valued and multi-valued mappings in F-type topological space. As applications, we utilize our main theorems to prove coincidence point theorems and fixed point theorems for single-valued and multi-valued mappings in fuzzy metric spaces and probabilistic metric spaces.
Coincidence point theorems in pseudocompact Tichonov spaces.
Coincidence points and maximal elements of multifunctions on convex spaces
Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.
Coincidence points and -weakly commuting maps
In this paper we extend the concept of -weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of -weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.