Fixed points of mappings with diminishing probabilistic orbital diameters.
Fixed points of multivalued contractions with nonclosed, nonconvex values
For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.
Fixed points of multivalued maps in modular function spaces.
Fixed points of multivalued nonexpansive maps.
Fixed points of nonlinear and asymptotic contractions in the modular space.
Fixed points of periomorphisms
Fixed points of set-valued maps with closed proximally ∞-connected values
Introduction Many authors have developed the topological degree theory and the fixed point theory for set-valued maps using homological techniques (see for example [19, 28, 27, 16]). Lately, an elementary technique of single-valued approximation (on the graph) (see [11, 1, 13, 5, 9, 2, 6, 7]) has been used in constructing the fixed point index for set-valued maps with compact values (see [21, 20, 4]). In [20, 4] authors consider set-valued upper semicontinuous...
Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity.
Fixed points of symmetric product mappings of polyhedra and metric absolute neighborhood retracts
Fixed points of the contractive or expansive type for multivalued mappings: toward a unified approach.
Fixed points of weakly compatible maps satisfying a general contractive condition of integral type.
Fixed points of weakly contractive maps and boundedness of orbits.
Fixed points of -weak contractions on cone metric spaces.
Fixed points theorems of non-expanding fuzzy multifunctions
We prove the existence of a fixed point of non-expanding fuzzy multifunctions in -fuzzy preordered sets. Furthermore, we establish the existence of least and minimal fixed points of non-expanding fuzzy multifunctions in -fuzzy ordered sets.
Fixed points via a generalized local commutativity.
Fixed points via a generalized local commutativity: the compact case.
Fixed sets and free subgroups of groups acting on metric spaces.
Fixed simplex property for retractable complexes.
Fixed-point free maps of Euclidean spaces
Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples
Fixed-point Mappings on Compact Metric Spaces