Ordered cone metric spaces and fixed point results

Altun, Ishak/0000-0002-7967-0554WOS: 000281340600002In 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.Ministry of Science, Technology and Development, Republic of SerbiaThe authors thank the referees for their valuable comments and suggestions. The second author was supported by the Ministry of Science, Technology and Development, Republic of Serbia