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  • 标题:A Common Fixed Point Theorem for Two Pairs of Mappings in Dislocated Metric Space
  • 本地全文:下载
  • 作者:Dinesh Panthi 1 , Kanhaiya Jha 2 , Pavan Kumar Jha 3 , P. Sumati Kumari
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2015
  • 卷号:05
  • 期号:02
  • 页码:106-112
  • DOI:10.4236/ajcm.2015.52009
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:Dislocated metric space differs from metric space for a property that self distance of a point needs not to be equal to zero. This property plays an important role to deal with the problems of various disciplines to obtain fixed point results. In this article, we establish a common fixed point theorem for two pairs of weakly compatible mappings which generalize and extend the result of Brain Fisher [1] in the setting of dislocated metric space with replacement of contractive constant by contractive modulus for which continuity of mappings is not necessary and compatible mappings by weakly compatible mappings.
  • 关键词:d-Metric Space; Common Fixed Point; Weakly Compatible; Contractive Modulus; Cauchy Sequence
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