Fixed point theorems for (p, q)-quasi-contraction mappings in cone metric spaces

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• 作者：Wajdi Chaker ; Abdelaziz Ghribi ; Aref Jeribi…
• 关键词：Fixed points ; (p ; q) ; Quasi ; contractions ; Cone metric space ; 54E40 ; 47H09 ; 47H10 ; 54H25
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：37
• 期：2
• 页码：211-220
• 全文大小：152 KB
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• 作者单位：Wajdi Chaker (1)
  Abdelaziz Ghribi (2)
  Aref Jeribi (3)
  Bilel Krichen (4)
  
  1. Higher Institute of Applied Biology Medenine, El Jorf Road Km 22, Medenine, Tunisia
  2. Higher Institute of Business Administration of Sfax, Airport Road Km 4, B.P. N1013 3018 B.P. 1013, Sfax, Tunisia
  3. Department of Mathematics, Faculty of Science of Sfax, Soukra Road Km 3.5, B.P. 1171, 3000, Sfax, Tunisia
  4. Department of Mathematics, Preparatory Engineering Institute, Menzel Chaker Road Km 0.5, B.P. 1172-3018, Sfax, Tunisia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261

文摘

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. Keywords Fixed points (p, q)-Quasi-contractions Cone metric space