J4 ›› 2008, Vol. 43 ›› Issue (5): 82-86 .doi:

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Fixed point theorems for the generalized contractive mappings and mapping pairs in cone metric spaces

YUAN Qing1, GAO Jian-jun2, WANG Yan-wei2   

  1. 1. School of Science, Hangzhou Normal University, Hangzhou 310036, Zhejiang, China;2. Engineering Training Center, Shandong University, Jinan 250061, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: YUAN Qing

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Abstract:

Since the notation of cone metric spaces was raised, several authors have studied its constructions and properties. The results on the existence of fixed points of generalized contractive mappings were extended by relaxing the contractive conditions. The existence of common fixed points of generalized contractive mapping pairs was also discussed. The obtained results extend the recent relative results and the classical theorems in metric spaces.

Key words: cone metric spaces; fixed points; generalized contractive mappings; contractive mapping pairs

CLC Number: 

  • O177.91
[1] ZOU Yu-Mei, TAO Chang-Li, CUI Yu-Jun. Asymptotic bifurcation points of nonlinear operators [J]. J4, 2008, 43(12): 20-23.
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