Fixed Point Theorems for(p, q)-Quasi-Contraction Mappings in Cone Metric Spaces
被引量：1
Fixed Point Theorems for(p, q)-Quasi-Contraction Mappings in Cone Metric Spaces
摘要
In this work, the authors introduce the concept of(p, q)-quasi-contraction mapping in a cone metric space. We prove the existence and uniqueness of a fixed point for a(p, q)-quasi-contraction mapping in a complete cone metric space. The results of this paper generalize and unify further fixed point theorems for quasi-contraction, convex contraction mappings and two-sided convex contraction of order 2.
参考文献21
-
1Alghamdi, M. A., Alnafei, S. H., Radenovid, S. and Shahzad, N., Fixed point theorems for convex contrac- tion mappings on cone metric spaces, Math. Comput. Modelling, 54, 2011, 2020-2026. 被引量：1
-
2Banach, S., Sur les op@rations dans les ensembles abstraits et leur application aux @quations int@grales, Fund. Math., 3, 1922, 133-181. 被引量：1
-
3Chatterjee, S. K., Fixed point theorems, Rend. Acad. Bulgare Sc., 25, 1972, 727-730. 被引量：1
-
4CiriS, Lj. B., A generalization of Banach's contraction principle, Proc. Arner. Math. Soc., 45, 1974, 267- 273. 被引量：1
-
5Fisher, B., Quasicontractions on metric spaces, Proc. Amer. Math. Soc., 75, 1979, 321-325. 被引量：1
-
6Huang, L. G. and Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332, 2007, 1468-1476. 被引量：1
-
7Ilid, D. and RakoceviS, V., Quasi-contraction on a cone metric space, Appl. Math. Lett., 22, 2009, 728-731. 被引量：1
-
8Istratescu, V. I., Some fixed point theorems for convex contraction mappings and mappings with convex diminishing diameters. I, Ann. Mat. Pura Appl., 130, 1982, 89-104. 被引量：1
-
9Jeong, G. S. and Rhoades, B. E., Maps for which F(T)= F(T^n), fixed point theory and applications, Vol. 6, Nova Sci. Publ., New York, 2007, 71-105. 被引量：1
-
10Jeong, G. S. and Rhoades, B. E., More maps for which F(T) = F(T^n), Demonstratio Math., 40, 2007, 671-680. 被引量：1
-
1刘仁成.广拟压缩映象的公共不动点定理[J].哈尔滨师范大学自然科学学报,1993,9(2):31-34.
-
2王学武,于永胜.拟压缩映象的Mann迭代序列的强逼近[J].数学的实践与认识,2009,39(8):201-206.
-
3HAN Yan,XU Wang-bin,XU Shao-yuan.Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces[J].Chinese Quarterly Journal of Mathematics,2013,28(2):224-233. 被引量：5
-
4CAO Xiao-shuang,XU Shao-yuan.Some Notes on G-cone Metric Spaces[J].Chinese Quarterly Journal of Mathematics,2014,29(4):602-611.
-
5LI Ke-dian.The Completeness of Cone Metric Spaces[J].Chinese Quarterly Journal of Mathematics,2013,28(4):565-572.
-
6SONG Jiping.Points of Coincidence for Weakly Compatible Pair of Mappings in Cone Metric Spaces[J].Wuhan University Journal of Natural Sciences,2015,20(1):8-14. 被引量：1
-
7卫星,张万雄.偏序集上拟压缩映象的一个不动点定理及应用[J].四川师范大学学报（自然科学版）,2009,32(4):421-423. 被引量：1
-
8李高明.仿度量空间的不动点定理[J].纺织高校基础科学学报,1998,11(1):27-29.
-
9田有先,张石生.凸度量空间中拟压缩映象具误差的Ishikawa型迭代序列的收敛性[J].应用数学和力学,2002,23(9):889-895. 被引量：11
-
10HUANG Hua-ping,XU Shao-yuan,HAN Yan.Some Fixed Point Results on a Class of Contractive Mappings in Cone Metric Spaces[J].Chinese Quarterly Journal of Mathematics,2013,28(4):539-545. 被引量：4
