Author:
Đorđević Momčilo,Đorić Dragan,Kadelburg Zoran,Radenović Stojan,Spasić Dragoljub
Abstract
Abstract
Fixed point and common fixed point results for mappings in tvs-cone metric spaces (with the underlying cone which is not normal) under contractive conditions expressed in the terms of c-distance are obtained. Respective results concerning mappings without periodic points are also deduced. Examples are given to distinguish these results from the known ones.
Mathematics Subject Classification (2010)
47H10, 54H25
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference22 articles.
1. Huang LG, Zhang X: Cone metric spaces and fixed point theorems of contractive mappings. J Math Anal Appl 2007,332(2):1468–1476. 10.1016/j.jmaa.2005.03.087
2. Vandergraft JS: Newton's method for convex operators in partially ordered spaces. SIAM J Num Anal 1967, 4: 406–432. 10.1137/0704037
3. Krasnoseljski MA, Zabrejko PP: Geometrical Methods in Nonlinear Analysis. Springer, Berlin; 1984.
4. Zabrejko PP: K-metric and K-normed linear spaces, survey. Collect Math 1997, 48: 825–859.
5. Beg I, Azam A, Arshad M: Common fixed points for maps on topological vector space valued cone metric spaces. Intern J Math Math Sci 2009, 8. (Article ID 560264)
Cited by
42 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献