On <em>𝜓</em>-contractions and common fixed point results in probabilistic metric spaces



	On 𝜓-contractions and common fixed point results in probabilistic metric spaces


	Fixed Point Theory, Volume 21, No. 1, 2020, 319-338, February 1st, 2020 DOI: 10.24193/fpt-ro.2020.1.23 Authors: Jingfeng Tian, Ximei Hu and Donal O'Regan Abstract: In this paper, by weakening the conditions on the gauge function 𝜓, some new fixed point and common fixed point (common coupled fixed point, common tripled fixed point) theorems for nonlinear mappings with a gauge function 𝜓 in Menger probabilistic metric spaces are established. An example is given to illustrate our theory. Key Words and Phrases: Coupled fixed point, fixed point, metric space, probabilistic φ-contractions, gauge function. 2010 Mathematics Subject Classification: 54E70, 54H25, 47H10. Published on-line: February 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents