Results 81 to 90 of about 5,351 (245)
The property WORTH* and the weak fixed point property
, 2014 A Banach space, $X$, has the weak fixed point property (w-FPP) if every nonexpansive mapping, $T$, on every weak compact convex nonempty subset, $C$, has a fixed point.
Dalby, Tim
core
Compactness and the fixed point property in ℓ1
Journal of Mathematical Analysis and Applications, 2016 The authors prove that the following conditions are equivalent for a convex closed subset of~\(\ell^1\): (1)~\(C\) is a compact set; (2)~\(C\) satisfies the fixed point property for Lipschitzian mappings \(T:C\to C\) which are nonexpansive on \(\overline{\mathrm{co}}\,T(C)\); (3)~\(C\) satisfies the fixed point property for cascading nonexpansive ...
Domínguez-Benavides, T., Japón, M.
openaire +2 more sources
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
Fixed points of condensing multivalued maps in topological vector spaces
Fixed Point Theory and Applications, 2004 With the aid of the simplicial approximation property, we show that every admissible multivalued map from a compact convex subset of a complete metric linear space into itself has a fixed point.
In-Sook Kim
doaj +2 more sources
Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Applied General Topology, 2019 Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
doaj +1 more source
Some fixed point theorems for discontinuous mappings [PDF]
This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core
Bound Sets in Partial Orders and the Fixed Point Property
, 1987 In this paper we introduce several properties closely related to the fixed point property of a partially ordered set P: the comparability property, the fixed point property for cones, and the fixed point extension property.
Hartmut Höft
core +1 more source
Renormings of c0 and the fixed point property
Journal of Mathematical Analysis and Applications, 2017 A Banach space \(X\) has the fixed point property (for nonexpansive mappings) if, for every closed bounded convex subset \(C\) of \(X\), every nonexpansive mapping \(T:C\to C\) has a fixed point. In [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 8, 2303--2308 (2008; Zbl 1151.46006)], \textit{P.-K. Lin} proved that there exists a
Juan M. Álvaro +2 more
openaire +2 more sources
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
Generalized Common Fixed Point Results via Greatest Lower Bound Property
Journal of Applied Mathematics, 2014 The aim of this paper is to unify the concept of greatest lower bound (g.l.b) property and establish some generalized common fixed results. We support our results by a nontrivial example.
Marwan Amin Kutbi +3 more
doaj +1 more source