Theorems about includings for multivalued mappings

TL;DR

This paper investigates fixed point theorems for multivalued mappings in Euclidean space, establishing conditions under which fixed points exist based on angle and metric constraints.

Contribution

It introduces new fixed point theorems for multivalued mappings with conditions like coacute angle and metric limitations, expanding theoretical understanding.

Findings

Fixed point theorems under coacute angle conditions

Fixed point results for metric-limited multivalued mappings

Extensions to restrictions on subsets in Euclidean space

Abstract

This paper is devoted to studying of some properties of multivalued mappings in Euclidean space. There were proved theorems on a fixed point for multivalued mappings whose restrictions to some subset in the closure of a domain satisfy "a coacute angle condition" or "a strict coacute angle condition". There also were obtained similar results for restrictions of multivalued mappings satisfying some metric limitations.