A fixed point theorem for Meir-Keeler type contraction via Gupta-Saxena expression

Fixexd point theory and applications

Abdelkader Dehici¹  ݲ  Najeh Redjel² 

[1] Department of Mathematics, University of Constantine 1, Constantine, Algeria;Laboratory of Informatics and Mathematics, University of Souk-Ahras, Souk-Ahras, Algeria

关键词: complete metric space;    fixed point;    Meir-Keeler mapping;    Gupta-Saxena rational expression;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0363-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, following the idea of Samet et al. (J. Nonlinear. Sci. Appl. 6:162-169, 2013), we establish a new fixed point theorem for a Meir-Keeler type contraction via Gupta-Saxena rational expression which enables us to extend and generalize their main result (Gupta and Saxena in Math. Stud. 52:156-158, 1984). As an application we derive some fixed points of mappings of integral type.

【 授权许可】

CC BY