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Öğe Ordered cone metric spaces and fixed point results(Pergamon-Elsevier Science Ltd, 2010) Altun, İshak; Rakocevic, VladimirIn this paper, we introduce a partial order on a cone metric space and prove a Caristi-type theorem. Furthermore, we prove fixed point theorems for single-valued nondecreasing and weakly increasing mappings, and multi-valued mappings on an ordered cone metric space. (C) 2010 Elsevier Ltd. All rights reserved.