Common fixed point theorems for two weakly compatible self-mappings in cone b-metric spaces
详细信息 查看全文
- 作者：Lu Shi (1)
Shaoyuan Xu (1) - 关键词：common fixed point ; weakly compatible self ; mappings ; (quasi ; )contractive condition ; cone b ; metric space
- 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：183KB
- 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. Song G-X, Sun X-Y, Zhao Y, Wang G-T: New common fixed point theorems for maps on cone metric spaces. / Appl. Math. Lett. 2010, 32:1033鈥?037. CrossRef
3. 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
4. Radenovic S, Rakocevic V: Common fixed points for type maps in cone metric spaces. / Appl. Math. Comput. 2011, 218:480鈥?91. CrossRef
5. Cho S-H, Bae J-S: Common fixed points theorems for mappings satisfying property on cone metric spaces. / Math. Comput. Model. 2011, 53:945鈥?51. CrossRef
6. Ili膰 D, Rako膷evi膰 V: Quasi-contraction on a cone metric space. / Appl. Math. Lett. 2009,22(5):728鈥?31. CrossRef
7. Gajic L, Rakocevic V: Quasi-contractions on a nonnormal cone metric space. / Funct. Anal. Appl. 2012, 46:62鈥?5. CrossRef
8. Hussian N, Shah M-H: KKM mappings in cone b -metric spaces. / Comput. Math. Appl. 2011, 62:1677鈥?684. CrossRef
9. Huang H-P, Xu S-Y: Fixed point theorems of contractive mappings in cone b -metric spaces and applications. / Fixed Point Theory Appl. 2012., 2012: Article ID 220
10. Marian I, Branga A: Common fixed point results in b -cone metric spaces over topological vector spaces. / Gen. Math. 2012.,20(1): Article ID 50
11. Kadelburg Z, Radenovi膰 S, Rako膷evi膰 V: Remarks on 鈥楺uasi-contraction on a cone metric space鈥? / Appl. Math. Lett. 2009,22(11):1674鈥?679. CrossRef
12. Aghagani A, Roshan J-R: Common fixed point under contractive conditions in ordered metric spaces. / Aust. J. Basic Appl. Sci. 2011,5(9):2139鈥?146.
13. Ili膰 D, Rako膷evi膰 V: Common fixed points for maps on cone metric space. / J. Math. Anal. Appl. 2008, 341:876鈥?82. CrossRef - 作者单位：Lu Shi (1)
Shaoyuan Xu (1)
1. School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, P.R. China - ISSN：1687-1812
文摘
In this paper, we establish common fixed point theorems for two weakly compatible self-mappings satisfying the contractive condition or the quasi-contractive condition in the case of a quasi-contractive constant in cone b-metric spaces without the normal cone, where the coefficient s satisfies . The main results generalize, extend and unify several well-known comparable results in the literature.