Elsevier, Topology and its Applications, (179), p. 156-170
DOI: 10.1016/j.topol.2014.07.011
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In this paper we extend main fixed point results of Kikkawa and Suzuki (2008) [19] and Mot and Petruşel (2009) [21] for the case of cone metric spaces without assumption of normality on cone. We also support our results by a nontrivial example and establish a homotopy theorem as an application.