A hybrid fixed-point theorem for set-valued mapsIn 1955, M. A.
Krasnosel’skii proved a
fixed-point theorem for a single-valued map which is a
Two fixed-point theoremsTwo
fixed point theorems implementing a more general principle for partially ordered sets (which
ABOUT ONE QUASI-METRIC SPACE of the
Krasnosel’skii theorem about a
fixed point of a generally contracting map to the M -space is obtained.
Minimum of a functional in a metric space and fixed points are valid are given. Then, these
theorems are applied to proving
theorems on
fixed points of univalent
Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence PointsExistence and uniqueness
theorems are obtained for a
fixed point of a mapping from a complete
On coincidence points of multivalued vector mappings of metric spaces of metric spaces. A vector analog of Arutyunov’s coincidence-
point theorem for two multivalued mappings