Search
Search Results
-
Lefschetz indices for n-valued maps
We give a systematic exposition of the construction and properties of Lefschetz fixed-point indices for the n -valued maps studied by Schirmer, Brown...
-
The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued map**s
On a subset of Banach space which is a locally finite union of closed, convex sets, we extend the Lefschetz fixed point theorem for set-valued...
-
On inclusions with multivalued operators and their applications to some optimization problems
In the present survey paper, we discuss applications of differential and operator inclusions to some optimization and optimal control problems. The...
-
Homotopy types and Nielsen numbers of periodic homotopy idempotents on tori
In this paper, we determine the Nielsen numbers of periodic homotopy idempotents on the n -dimensional torus T n . In the special case n = 2, we...
-
Degree of equivariant maps between generalized G-manifolds
Yasuhiro Hara in [ Topology Appl . 148
(2005) , 113–121] and Jan Jaworowski in [ J. Fixed Point Theory Appl . 1(2007) , 111–121] studied, under certain... -
On the existence of G-equivariant maps
Let G be a compact Lie group. Let X , Y be free G -spaces. In this paper, by using the numerical index i ( X ; R ), under cohomological conditions on the...
-
The topological Tverberg theorem and related topics
The classical Borsuk–Ulam theorem, established some eighty years ago, may now be seen as a consequence of the nonvanishing of the mod 2 cohomology...
-
On approximation of asymmetric separators of the n-cube
A new combinatorial result intertwined with the Brouwer fixed point theorem for the n -cube is given. This result can be used for any map ( f 1 , ..., fn )...
-
A simple proof of Olatinwo’s theorems
In this paper we provide a simple proof of the existence coupled fixed point theorem in complete cone metric spaces due to Sabetghadam et al. (Fixed...
-
Combinatorial scheme of finding minimal number of periodic points for smooth self-maps of simply connected manifolds
Let M be a closed smooth connected and simply connected manifold of dimension m at least 3, and let r be a fixed natural number. The topological...
-
Fixed-orbit indices, I
Let G be a compact Lie group. Using methods from equivariant fibrewise stable homotopy theory, we study indices which measure algebraically (1) for a G ...