Type: Article

Fixed point theorems for set-valued contractions

Journal: Rendiconti del Circolo Matematico di Palermo (0009725X)Year: December 2013Volume: 62Issue: Pages: 367 - 377

Amini Harandi A.^aFakhar M.^aHajisharifi H.^a

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1007/s12215-013-0130-xLanguage: English

Abstract

In this paper, we obtain some fixed point theorems for new set-valued contractions in complete metric spaces. Then by using these results and the scalarization method, we present some fixed point theorems for set-valued contractions in complete cone metric spaces without the normality assumption. We also present some examples to support our results. © 2013 Springer-Verlag Italia.

Author Keywords

Cone metric spaceFixed pointOrdered Banach spaceScalarization method