Locally admissible multi-valued maps

In this paper we generalize the class of admissible mappings as due by L. Górniewicz in 1976. Namely we define the notion of locally admissible mappings. Some properties and applications to the fixed point problem are presented

Metrizable space of multivalued maps

In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps. Moreover, we study properties of this space and give a few practical applications of the new metric

The multicores in metric spaces and their application in fixed point theory

summary:This paper discusses the notion, the properties and the application of multicores, i.e. some compact sets contained in metric spaces

The multi-morphisms and their properties and applications

In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented

Fixed points of mappings in Klee admissible spaces

In this paper we generalize the Lefschetz fixed point theorem from the case of metric ANR-s to the case of acceptable subsets of Klee admissible spaces. The results presented in this paper were announced in an earlier publication of the authors