Ulam-Hyers stability and well-posedness of fixed point problems for α-λ-contractions on quasi b-metric spaces

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• 作者：Abdelbasset Felhi ; Slah Sahmim ; Hassen Aydi
• 关键词：47H10 ; 54H25 ; 46J10 ; fixed point ; α ; λ ; contraction ; Ulam ; Hyers stability ; quasi b ; metric space
• 刊名：Fixed Point Theory and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,722 KB
• 参考文献：1. Kutbi, MA, Sintunavarat, W: Ulam-Hyers stability and well-posedness of fixed point problems for α-λ-contraction mapping in metric spaces. Abstr. Appl. Anal. 2014, Article ID 268230 (2014) MathSciNet
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• 作者单位：Abdelbasset Felhi (1)
  Slah Sahmim (1)
  Hassen Aydi (2) (3)
  
  1. Department of Mathematics, College of Sciences, King Faisal University, Al-Hassa, Saudi Arabia
  2. Department of Mathematics, College of Education of Jubail, University of Dammam, P.O. Box 12020, Industrial Jubail, 31961, Saudi Arabia
  3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
  
• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

In this paper, we establish some fixed point results for α-λ-contractions in the class of quasi b-metric spaces. To illustrate the obtained results, we provide some examples and an application on a solution of an integral equation. We also study the stability of Ulam-Hyers and well-posedness of a fixed point problem. Our obtained results give an answer to an open problem of Kutbi and Sintunavarat (Abstr. Appl. Anal. 2014:268230, 2014). Keywords fixed point α-λ-contraction Ulam-Hyers stability quasi b-metric space