Fixed point theorems for non-compact approximative ANR's
Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps
Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions
Fixed point theory and the K-theoretic trace
The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus ) and 1-parameter fixed point theory (versus ). In particular, various zeta functions associated with suspension flows are shown to come in a natural way as “traces” of “torsions” of Whitehead and Reidemeister type.
Fixed point theory for homogeneous spaces, II
Let G be a compact connected Lie group, K a closed subgroup and M = G/K the homogeneous space of right cosets. Suppose that M is orientable. We show that for any selfmap f: M → M, L(f) = 0 ⇒ N(f) = 0 and L(f) ≠ 0 ⇒ N(f) = R(f) where L(f), N(f), and R(f) denote the Lefschetz, Nielsen, and Reidemeister numbers of f, respectively. In particular, this implies that the Lefschetz number is a complete invariant, i.e., L(f) = 0 iff f is deformable to be fixed point free. This was previously known under...
Fixed points and braids.
Fixed Points and Braids. II.
Fixed points and homotopy fixed points.
Fixed points and locally connected cyclic continua in
Fixed points, equilibria and maximal elements in linear topological spaces
Fixed points, exceptional orbits, and homology of affine -surfaces
Fixed points for pairs of mappings in d-complete topological spaces.
Fixed points for positive permutation braids
Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.
Fixed Points In Antimorphisms
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.