Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen
Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem
We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.
General position properties in fiberwise geometric topology [Book]
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities
In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.
Generalized Caristi's fixed point theorems.
Generalized quasivariational inequalities on Fréchet spaces
In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].
Generalized tri-quotient maps and Čech-completeness
For a topological space let be the set of all compact subsets of . The purpose of this paper is to characterize Lindelöf Čech-complete spaces by means of the sets . Similar characterizations also hold for Lindelöf locally compact , as well as for countably -determined spaces . Our results extend a classical result of J. Christensen.
Generalized vector quasi-equilibrium problems with set-valued mappings.
Hashimoto topologies and quasi-continuous maps
Hereditarily normal Katětov spaces and extending of usco mappings
Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.
Homological methods in fixed-point theory of multi-valued maps [Book]
Homotopy for small multifunctions
Infinite Iterated Function Systems: A Multivalued Approach
We prove that a compact family of bounded condensing multifunctions has bounded condensing set-theoretic union. Compactness is understood in the sense of the Chebyshev uniform semimetric induced by the Hausdorff distance and condensity is taken w.r.t. the Hausdorff measure of noncompactness. As a tool, we present an estimate for the measure of an infinite union. Then we apply our result to infinite iterated function systems.
Intermediate value property and functional connectedness of multivalued maps
Intersection of moving convex sets in a normed space.
Irresolute multifunctions.
KKM theorem with applications to lower and upper bounds equilibrium problem in -convex spaces.
-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. III. Приложения
-непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. I: Теоремы существования.
-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. II. Теоремы релаксации