A characterization of locally connectedness by means of the set function T
A cohomological index of Fuller type for parameterized set-valued maps in normed spaces
We construct a cohomological index of the Fuller type for set-valued flows in normed linear spaces satisfying the properties of existence, excision, additivity, homotopy and topological invariance. In particular, the constructed index detects periodic orbits and stationary points of set-valued dynamical systems, i.e., those generated by differential inclusions. The basic methods to calculate the index are also presented.
A common end point theorem for set-valued generalized -weak contraction.
A decomposition theorem for a class of continua for which the set function T is continuous
We prove a decomposition theorem for a class of continua for which F. B.. Jones's set function 𝓣 is continuous. This gives a partial answer to a question of D. Bellamy.
A degree for a class of acyclic-valued vector fields in Banach spaces
A dual of the compression-expansion fixed point theorems.
A fixed point conjecture for Borsuk continuous set-valued mappings
The main result of this paper is that for n = 3,4,5 and k = n-2, every Borsuk continuous set-valued map of the closed ball in the n-dimensional Euclidean space with values which are one-point sets or sets homeomorphic to the k-sphere has a fixed point. Our approach fails for (k,n) = (1,4). A relevant counterexample (for the homological method, not for the fixed point conjecture) is indicated.
A fixed point index for bimaps
A fixed point principle for locally expansive multifunctions
A fixed point result of Seghal-Smithson type
A fixed point theorem for multivalued maps in symmetric spaces.
A Fixed Point Theorem in Reflexive Banach Spaces
A further generalization of Ky Fan's maximal inequality and its applications
A -KKM type theorem and its applications to minimax inequalities on -convex spaces.
A general coincidence theory for set-valued maps.
A generalized Amman's fixed point theorem and its application to Nash equlibrium.
A Hahn-Banach type generalization of the Hyers-Ulam theorem.
A Lefschetz-type fixed point theorem
A Nielsen number for fixed points and near points of small multifunctions
A note on Ascol's theorem for spaces of multifunctions.