Fixed point theorems for set-valued $Y$-contractions
Volume 77 / 2007
Banach Center Publications 77 (2007), 227-237
MSC: 47H10, 54H25, 47H06.
DOI: 10.4064/bc77-0-17
Abstract
The purpose of this paper is to present several fixed point theorems for the so-called set-valued $Y$-contractions. Set-valued $Y$-contractions in ordered metric spaces, set-valued graphic contractions, set-valued contractions outside a bounded set and set-valued operators on a metric space with cyclic representations are considered.