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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 186237, 12 pages doi:10.1155/2011/186237 Research Article Some Fixed-Point Theorems for Multivalued Monotone Mappings in Ordered Uniform Space Duran Turkoglu and Demet Binbasioglu Department of Mathematics, Faculty of Science, University of Gazi, Teknikokullar 06500, Ankara, Turkey Correspondence should be addressed to Duran Turkoglu, dturkoglu@gazi.edu.tr Received 22 September 2010; Accepted 8 March 2011 Academic Editor: Jong Kim Copyright q 2011 D. Turkoglu and D. Binbasioglu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is. | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 186237 12 pages doi 10.1155 2011 186237 Research Article Some Fixed-Point Theorems for Multivalued Monotone Mappings in Ordered Uniform Space Duran Turkoglu and Demet Binbasioglu Department of Mathematics Faculty of Science University ofGazi Teknikokullar 06500 Ankara Turkey Correspondence should be addressed to Duran Turkoglu dturkoglu@gazi.edu.tr Received 22 September 2010 Accepted 8 March 2011 Academic Editor Jong Kim Copyright 2011 D. Turkoglu and D. Binbasioglu. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We use the order relation on uniform spaces defined by Altun and Imdad 2009 to prove some new fixed-point and coupled fixed-point theorems for multivalued monotone mappings in ordered uniform spaces. 1. Introduction There exists considerable literature of fixed-point theory dealing with results on fixed or common fixed-points in uniform space e.g. between 1-14 . But the majority of these results are proved for contractive or contractive type mapping notice from the cited references . Also some fixed-point and coupled fixed-point theorems in partially ordered metric spaces are given in 15-20 . Recently Aamri and El Moutawakil 2 have introduced the concept of E-distance function on uniform spaces and utilize it to improve some well-known results of the existing literature involving both E-contractive or E-expansive mappings. Lately Altun and Imdad 21 have introduced a partial ordering on uniform spaces utilizing Edistance function and have used the same to prove a fixed-point theorem for single-valued nondecreasing mappings on ordered uniform spaces. In this paper we use the partial ordering on uniform spaces which is defined by 21 so we prove some fixed-point theorems of multivalued monotone mappings and .
