Some new theorems of expanding mappings without continuity in cone metric spaces
详细信息 查看全文
- 作者：Yan Han (1)
Shaoyuan Xu (2) - 关键词：cone metric space ; expanding mapping ; common fixed point
- 刊名：Fixed Point Theory and Applications
- 出版年：2013
- 出版时间：December 2013
- 年：2013
- 卷：2013
- 期：1
- 全文大小：176KB
- 参考文献：1. Huang L-G, Zhang X: Cone metric space and fixed point theorems of contractive mappings. / J. Math. Anal. Appl. 2007, 332:1468鈥?476. CrossRef
2. Abbas M, Jungck G: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. / J. Math. Anal. Appl. 2008, 341:416鈥?20. CrossRef
3. Abbas M, Rhoades BE: Fixed and periodic point results in cone metric spaces. / Appl. Math. Lett. 2009, 22:511鈥?15. CrossRef
4. Radenovic S: Common fixed points under contractive conditions in cone metric spaces. / Comput. Math. Appl. 2009, 58:1273鈥?278. CrossRef
5. Altun I, Damjanovic B, Djoric D: Fixed point and common fixed point theorems on ordered cone metric spaces. / Appl. Math. Lett. 2010, 23:310鈥?16. CrossRef
6. Rezapour S, Hamlbarani R: Some note on the paper 鈥淐one metric spaces and fixed point theorems of contractive mappings鈥? / J. Math. Anal. Appl. 2008, 345:719鈥?24. CrossRef
7. Han Y, Xu S-Y: New common fixed point results for four maps on cone metric spaces. / Appl. Math. 2011, 2:1114鈥?118. CrossRef
8. Bari CD, Vetro P: 蠁 -pairs and common fixed points in cone metric spaces. / Rend. Circ. Mat. Palermo 2008, 57:279鈥?85. CrossRef
9. Aage CT, Salunke JN: Some fixed point theorems for expansion onto mappings on cone metric spaces. / Acta Math. Sin. Engl. Ser. 2011,27(6):1101鈥?106. CrossRef
10. Wang S-Z, Li B-Y, Gao Z-M, Lseki K: Some fixed points of expansion mappings. / Math. Jpn. 1984, 29:631鈥?36.
11. Zhang X: Common fixed point theorems of Lipschitz type mappings in cone metric spaces. / Acta Math. Sin. 2010,53(6):1139鈥?148. (in Chinese) - 作者单位：Yan Han (1)
Shaoyuan Xu (2)
1. Department of Mathematics, Zhaotong University, Zhaotong, 657000, P.R. China
2. School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, P.R. China - ISSN：1687-1812
文摘
In this paper, fixed point theorems for one mapping and common fixed point theorems for two mappings satisfying generalized expansive conditions are obtained. The mappings are not necessarily continuous and the cone is not normal. These results improve and generalize several well-known comparable results in (Aage and Salunke, in Acta Mathematica Sinica, English Series 27(6):1101-1106, 2011). Moreover, examples are given to support our new results. MSC: 54H25, 47H10.