Fixed points, index, and degree for some set valued functions
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems.
Fixed points of antitone mappings in conditionally complete partially ordered sets.
Fixed points of certain symmetric product mappings of a metric manifold
Fixed points of maps of a nonaspherical wedge.
Fixed Points of Maps of Sets of Polyhedra into the Disc
We prove that Platonic and some Archimedean polyhedra have the fixed point property in a non-classical sense.
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 symmetric product mappings of polyhedra and metric absolute neighborhood retracts
Fixed points on Klein bottle fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.
Fixed points on torus fiber bundles over the circle
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fibrations over S¹ and the fiber is the torus ,T. For the case where the fiber is a surface with nonpositive Euler characteristic, we establish general algebraic conditions, in terms of the fundamental group and the induced homomorphism, for the existence of a deformation of a map over S¹ to a fixed point free map. For the case where the fiber is a torus, we classify all maps over...
Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells.
Fix-finite and fixed point free approximations of symmetric product maps
Fix-finite approximation of n-valued multifunctions
Free actions on products of spheres: The rational case.