On fixed point theorems involving altering distances in Menger probabilistic metric spaces

被引：0
|
作者：
Tatjana Došenović
Poom Kumam
Dhananjay Gopal
Deepesh Kumar Patel
Aleksandar Takači
机构：
[1] University of Novi Sad,Faculty of Technology
[2] King Mongkut’s University of Technology Thonburi (KMUTT),Department of Mathematics, Faculty of Science
[3] S. V. National Institute of Technology,Department of Applied Mathematics & Humanities
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
fixed point; Menger PM-spaces; continuous ; -norm;
D O I：
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学科分类号：
摘要：
In this paper, we show by means of an example that the results of Babačev (Appl. Anal. Discrete Math. 6:257-264, 2012) do not hold for the class of t-norms T≤Tp. Further, we prove a fixed point theorem for quasi-type contraction involving altering distance functions which is weaker than that proposed by Babačev but for any continuous t-norm in a complete Menger space.
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