Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (1): 157-167.

Previous Articles     Next Articles

Tripled Coincidence and Tripled Fixed Point Theorems for Compatible Mappings Under Contractive Conditions in Partially Ordered Probabilistic Metric Spaces

Luo Ting1,2, Zhu Chuanxi1   

  1. 1 Department of Mathematics, Nanchang University, Nanchang 330031;
    2 College of Ethnic Education, Nanchang Institute of Science & Technology, Nanchang 330108
  • Received:2015-08-13 Revised:2015-12-20 Online:2016-02-25 Published:2016-02-25
  • Supported by:

    Supported by the NSFC (11361042, 11071108) and the NSF of Jiangxi Province of China (20132BAB201001, 2010GZS0147)

Abstract:

In this paper, we establish the notion of compatibility for a pair of mappings G:X×X×XX and g:XX in partially ordered probabilistic metric spaces. Under not necessary commutative conditions, some tripled coincidence and tripled common fixed point problems of compatible mappings satisfying a more general nonlinear contractive condition are studied. The obtained results generalize some coupled common fixed point theorems in the corresponding literatures. Finally, an example is given to illustrate our main results.

Key words: Probabilistic metric space, Tripled coincidence point, Tripled fixed point, Partially ordered set, Mixed g-monotone mapping

CLC Number: 

  • O177.91
Trendmd