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Abstract
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On a vector space, one can define an order by using a cone in the vector space. In this
way, Huang and Zhang reviewed cone metric spaces as a generalization of metric spaces with a
different view (J. Math. Anal. Appl. 2007; 332:1468–1476). Most known cones are normal
with normal constant M = 1. In this paper, we shall give some results about fixed point
of multifunctions on the cone metric spaces with normal constant M = 1. In this way, we
shall provide a generalization for main results of Kunze et al. (J. Math. Anal. Appl. 2007;
330:159–173).
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