Fixed points of Ćirić-Matkowski-type contractions in \(\nu \) -generalized metric spaces

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• 作者：Mortaza Abtahi ; Zoran Kadelburg…
• 关键词：\(\nu \) ; Generalized metric space ; Cauchy sequence ; Fixed point ; Ćirić ; Matkowski ; type contraction
• 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：57-64
• 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 paper, fixed point theorems for Ćirić-Matkowski-type contractions in \(\nu \)-generalized metric spaces are presented. Then, by replacing the distance function d(x, y) with function of the form \(m(x,y)=d(x,y)+\gamma \bigl (d(x,Tx)+d(y,Ty)\bigr )\), where \(\gamma >0\), results analogue to those due to Proinov (Nonlinear Anal 64:546–557, 2006) are obtained. An example is provided to demonstrate a possible usage of these results.