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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
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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. 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第2期211-220,共10页 数学年刊(B辑英文版)
关键词 不动点定理 拟压缩映象 度量空间 标准 收缩映射 准压缩映射 固定点 Fixed points (p,q)-Quasi-contractions Cone metric space
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  • 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.
  • 2Banach, S., Sur les op@rations dans les ensembles abstraits et leur application aux @quations int@grales, Fund. Math., 3, 1922, 133-181.
  • 3Chatterjee, S. K., Fixed point theorems, Rend. Acad. Bulgare Sc., 25, 1972, 727-730.
  • 4CiriS, Lj. B., A generalization of Banach's contraction principle, Proc. Arner. Math. Soc., 45, 1974, 267- 273.
  • 5Fisher, B., Quasicontractions on metric spaces, Proc. Amer. Math. Soc., 75, 1979, 321-325.
  • 6Huang, L. G. and Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332, 2007, 1468-1476.
  • 7Ilid, D. and RakoceviS, V., Quasi-contraction on a cone metric space, Appl. Math. Lett., 22, 2009, 728-731.
  • 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.
  • 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.
  • 10Jeong, G. S. and Rhoades, B. E., More maps for which F(T) = F(T^n), Demonstratio Math., 40, 2007, 671-680.

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