Title of article :
Fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces
Author/Authors :
Tian ، Jing-Feng - North China Electric Power University , Hu ، Xi-Mei - Hebei Co., Ltd. , Zhang ، Guofang - Hebei University
Pages :
16
From page :
1150
To page :
1165
Abstract :
In this paper, we present some new fixed point theorems for probabilistic contractions with a gauge function in generalized probabilistic metric spaces proposed by Zhou et al. Our theorems not only are generalizations of the corresponding results of Ciric [L. Ciric, Nonlinear Anal., 72 (2010), 2009[2018] and Jachymski [J. Jachymski, Nonlinear Anal., 73 (2010), 2199[2203], but also improve and extend the recent results given by Zhou et al. [C. Zhou, S. Wang, L. Ciric, S. M. Alsulami, Fixed Point Theory Appl. 2014 (2014), 15 pages].
Keywords :
Fixed point , metric space , Gmetric space , nonlinear contractions , gauge function
Journal title :
Journal of Nonlinear Science and Applications
Serial Year :
2015
Journal title :
Journal of Nonlinear Science and Applications
Record number :
2475572
Link To Document :
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