Remarks on cyclic contractions in b-metric spaces and applications to integral equations

详细信息    查看全文

• 作者：Nguyen Van Dung ; Vo Thi Le Hang
• 关键词：Metric ; b ; metric ; Cyclic contraction ; Integral equation
• 刊名：Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：111
• 期：1
• 页码：247-255
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Applications of Mathematics; Theoretical, Mathematical and Computational Physics;
• 出版者：Springer Milan
• ISSN：1579-1505
• 卷排序：111

文摘

In this note we construct counterexamples to answer open questions on cyclic contractions posed by Radenović in (Afr Mat 27(1):291–295, 2016) and Radenović et al. (Appl Math Comput 273:155–164, 2016), and to show an error in the result of Nashine et al. (Publ Inst Math (Beograd) (N.S.) 93(107):69–93, 2013). We also show that many applications of fixed point results in b-metric spaces to integral equations in the literature may be replaced by that in metric spaces.