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Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces 被引量：5

Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces
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摘要 In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These results improve and generalize several wellknown comparable results in the literature. Moreover, our results are supported by some examples. In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These results improve and generalize several well- known comparable results in the literature. Moreover, our results are supported by some examples.
作者 HAN Yan XU Wang-bin XU Shao-yuan
机构地区 Department of Mathematics School of Mathematics and Statistics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期224-233,共10页 数学季刊（英文版）
基金 Supported by the Foundation of Education Ministry of Hubei Province(D20102502)
关键词 cone metric space lipschitz type mapping common fixed point cone metric space lipschitz type mapping common fixed point
分类号 O177.91 [理学—基础数学]
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参考文献12

  • 1ABBAS M, JUNGCK G. Common fixed point results for noncommuting mappings without continuity in cone metric spaces].I]. J Math Anal Appl, 2008, 341: 416-420.
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  • 10SONG Guang-xing, SU,," Xiao-yan, ZHAO Yan, et al. New common fixed point theorems for maps on cone metric spaces[J]. Appl Math Letter, 2010, 23: 1033-1037.

二级参考文献1

共引文献31

同被引文献15

  • 1HUANG Long-guang, ZHANG Xian. Cone metric spaces and fixed point theorems of contractive map- pings[J]. Journal of Mathematical Analysis and Applications, 2007, 332: 1468-1476.
  • 2ABBAS M, JUNGCK G. Common fixed point results for noncommuing mappings without continuity in cone metric spaces[J]. Journal of Mathematical Analysis and Applications, 2008, 341: 416-420.
  • 3HUSSAIN N, MASSOD H-S, ALIREZA A-H, et al. Common fixed point theorems for generalized con- tractive mappings with applications[J]. Fixed point theory and applications, 2013, 169: 1-17.
  • 4JANKOVIC S, KADELBURG Z, RADENOVIC S. On cone metric spaces: a survey[J]. Nonlinear Analysis, 2011, 74: 2591-2601.
  • 5KADELBURG Z, RADENOVIC S, RAKOCEVIC V. A note on the equivalence of some metric and cone metric fixed point results[J]. Applied Mathematics Letters, 2011, 24: 370-374.
  • 6ASADA M, RHOADES B-E, SOLEIMANI H. Some notes on the paper "The equivalence of cone metric spaces and metric spaces" [J]. Fixed Point Theory and Applications, 2012, 87: 1-4.
  • 7ERCAN Z. On the end of the cone metric spaces[J]. Topology and Its Applications, 2014, 166: 10-14.
  • 8LIU Hao, XU Shao-yuan. Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings[J]. Fixed Point Theory and Applications, 2013, 320: 1-10.
  • 9RUDIN W. Functional Analysis[M]. New York, NY, USA: McGraw-Hill, 1991.
  • 10Chintaman T. AAGE Jagannath N. SALUNKE.Some Fixed Point Theorems for Expansion onto Mappings on Cone Metric Spaces[J].Acta Mathematica Sinica,English Series,2011,27(6):1101-1106. 被引量：17

引证文献5

二级引证文献8

Chinese Quarterly Journal of Mathematics
2013年 第2期

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