Probabilistic α-min Ciric type contraction results using a control function

AIMS Mathematics

Samir Kumar Bhandari¹  Dhananjay Gopal²  Pulak Konar³ 

[1] 1 Department of Mathematics, Bajkul Milani Mahavidyalaya, P. O–Kismat Bajkul, Dist–Purba Medinipur, Bajkul, West Bengal, 721655, India;2 Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395007, Gujarat, India;3 Department of Mathematics, Amity University, Kadampukur, 24PGS(N), Kolkata, West Bengal, 700135, India;

关键词: pm-space;    ciric type contraction;    cauchy sequence;    fixed point;    altering distance function;   

DOI  :  10.3934/math.2020082

来源: DOAJ

【 摘 要 】

The purpose of the paper is to propose some new probabilistic α-minimum Ciric type contraction results. Our results are established on probabilistic generalization of metric spaces or probabilistic metric spaces. The use of class of control fucntion φ which was introduced by Choudhury et al. in 2008 helped us to deduce the result. We also get a corollary. Some illustrative examples are given here. Our results are supported by those examples. Lastly an application of integral equation is given. An important conclusion is also made at the end of the results.

【 授权许可】

Unknown