Common fixed point theorems under generalized \(\mathcal {W}\) -weakly contractive condition in ordered orbitally complete metric spaces

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• 作者：Hemant Kumar Nashine ; Zoran Kadelburg
• 关键词：Common fixed point ; Ordered metric space ; Orbitally complete metric space ; Weakly contractive condition ; Partially weakly increasing maps ; Weakly annihilator maps ; Dominating maps ; 47H10 ; 45G15 ; 54H25
• 刊名：Afrika Matematika
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：27
• 期：1-2
• 页码：297-312
• 全文大小：451 KB
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• 作者单位：Hemant Kumar Nashine (1)
  Zoran Kadelburg (2)
  
  1. Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur, 492101, Chhattisgarh, India
  2. Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics Education
  Applications of Mathematics
  History of Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：2190-7668

文摘

We propose common fixed point results for two pairs of partially weakly increasing mappings in an ordered orbitally complete metric space under a generalized rational-type \(\mathcal {W}\)-weakly contractive condition. As an application, an existence result for certain systems of integral equations is presented. Keywords Common fixed point Ordered metric space Orbitally complete metric space Weakly contractive condition Partially weakly increasing maps Weakly annihilator maps Dominating maps