an:05614603
Zbl 1171.54033
Rezapour, Sh.; Haghi, R. H.
Fixed point of multifunctions on cone metric spaces
EN
Numer. Funct. Anal. Optim. 30, No. 7-8, 825-832 (2009).
00254274
2009
j
54H25 54F05 47H10 47H04
cone metric space; cone topology; fixed point; multifunction
Summary: On a vector space, one can define an order by using a cone in the vector space. In this way, \textit{L.-G. Huang} and \textit{X. Zhang} [J.~Math. Anal. Appl. 332, No. 2, 1468--1476 (2007; Zbl 1118.54022)] reviewed cone metric spaces as a generalization of metric spaces with a different view. Most known cones are normal with normal constant \(M=1\). In this paper, we give some results about fixed point of multifunctions on the cone metric spaces with normal constant \(M = 1\). In this way, we provide a generalization of the main results of \textit{H. E. Kunze, D. La~Torre} and \textit{E. R. Vrscay} [J.~Math. Anal. Appl. 330, No. 1, 159--173 (2007; Zbl 1115.47043)].
Zbl 1118.54022; Zbl 1115.47043