Common coupled fixed point theorems for hybrid pair of mappings satisfying an implicit relation with application

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• 作者：Bhavana Deshpande ; Amrish Handa
• 关键词：Coupled fixed point ; Coupled coincidence point ; Implicit relation ; (EA) property ; $$w$$ w ; Compatibility ; Occasionally $$w$$ w ; compatibility ; Integral equation ; 47H10 ; 54H25
• 刊名：Afrika Matematika
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：27
• 期：1-2
• 页码：149-167
• 全文大小：480 KB
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• 作者单位：Bhavana Deshpande (1)
  Amrish Handa (1)
  
  1. Department of Mathematics, Govt. P. G. Arts & Science College, Ratlam, MP, India
  
• 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 establish some common coupled fixed point theorems satisfying an implicit relation under newly defined weaker conditions for hybrid pair \(F:X\times X\rightarrow 2^{X}\) and \(g:X\rightarrow X\) on a noncomplete metric space, which is not partially ordered. An example supporting to our results has also been cited. As an application the solution of integral equations are obtain here to illustrate the usability of the obtained results. We improve, extend and generalize several known results. Keywords Coupled fixed point Coupled coincidence point Implicit relation (EA) property \(w\)-Compatibility Occasionally \(w\)-compatibility Integral equation