Fixed points of nonlinear and asymptotic contractions in the modular space.
Fixed Points of n-Valued Multimaps of the Circle
A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established for manifolds...
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-place ideals in commutative rings
Let be a semi-prime ideal. Then is called irredundant with respect to if . If is the intersection of all irredundant ideals with respect to , it is called a fixed-place ideal. If there are no irredundant ideals with respect to , it is called an anti fixed-place ideal. We show that each semi-prime ideal has a unique representation as an intersection of a fixed-place ideal and an anti fixed-place ideal. We say the point is a fixed-place point if is a fixed-place ideal. In this situation...
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
Fixed-point results for generalized contractions on ordered gauge spaces with applications.