tailieunhanh - Báo cáo hóa học: " Research Article Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 589725 15 pages doi 2011 589725 Research Article Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space Aleksandar S. Cvetkovic 1 Marija P. Stanic 2 Sladjana Dimitrijevic 2 and Suzana Simic2 1 Department of Mathematics Faculty of Mechanical Engineering University of Belgrade Kraljice Marije 16 11120 Belgrade Serbia 2 Department of Mathematics and Informatics Faculty of Science University of Kragujevac Radoja Domanovica 12 34000 Kragujevac Serbia Correspondence should be addressed to Aleksandar S. Cvetkovic acvetkovic@ Received 9 December 2010 Revised 26 January 2011 Accepted 3 February 2011 Academic Editor Fabio Zanolin Copyright 2011 Aleksandar S. Cvetkovic et al. 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. In this paper we consider the so called a cone metric type space which is a generalization of a cone metric space. We prove some common fixed point theorems for four mappings in those spaces. Obtained results extend and generalize well-known comparable results in the literature. All results are proved in the settings of a solid cone without the assumption of continuity of mappings. 1. Introduction Replacing the real numbers as the codomain of a metric by an ordered Banach space we obtain a generalization of metric space. Such a generalized space called a cone metric space was introduced by Huang and Zhang in 1 . They described the convergence in cone metric space introduced their completeness and proved some fixed point theorems for contractive mappings on cone metric space. Cones and ordered normed spaces have some applications in optimization theory see 2 . The initial work of Huang and Zhang 1 inspired many authors to prove fixed point theorems as well as common fixed .