Author:
Shatanawi Wasfi,Rajić Vesna Ćojbašić,Radenović Stojan,Al-Rawashdeh Ahmed
Abstract
Abstract
In this paper, the concepts of a set-valued contraction of Mizoguchi-Takahashi type in the context of topological vector space (tvs)-cone metric spaces are introduced and a fixed point theorem in the context of tvs-cone metric spaces with respect to a solid cone is proved. We obtained results which extend and generalize the main results of S. H. Cho with J. S. Bae, Mizoguchi with Takahashi and S. B. Nadler Jr. Two examples are given to illustrate the usability of our results.
2010 MSC: 47H10, 54H25.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference31 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. Al-Rawashdeh A, Shatanawi W, Khandaqji M: Normed ordered and E-mertic spaces. Int J Math Math Sci 2012, 11. Article ID 272137, doi:10.1155/2012/272137
3. Abbas M, Cho YJ, Nazir T: Common fixed point theorems for four mappings in TVS-valued cone metric spaces. J Math Inequal 2011, 5: 287–299.
4. Abbas M, Vetro P, Khan SH: On fixed points of Berinde's contractive mappings in cone metric spaces. Carpathian J Math 2010, 26: 121–133.
5. Abdeljawad T, Karapinar E, Taş K: Common fixed point theorems in cone banach spaces. Hacettepe J Math Stat 2011, 40: 211–217.
Cited by
27 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