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Probabilistic Airy's type equation with third order minimum norm | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 124، دوره 14، شماره 1، فروردین 2023، صفحه 1611-1626 اصل مقاله (549.46 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26888.3440 | ||
نویسندگان | ||
Samir Kumar Bhandari1؛ Sumit Chandok* 2؛ Radha Binod Das3 | ||
1Department of Mathematics, Bajkul Milani Mahavidyalaya, Kismat Bajkul, Purba Medinipur-721655, West Bengal, India | ||
2School of Mathematics, Thapar Institute of Engineering and Technology, Patiala-147004, Punjab, India | ||
3Barkhali High School, Barkhali, Amira, Diamond Harbour, South 24 Parganas-743368, India | ||
تاریخ دریافت: 27 فروردین 1401، تاریخ بازنگری: 09 شهریور 1401، تاریخ پذیرش: 09 آذر 1401 | ||
چکیده | ||
In the present paper, we establish some generalized cyclic contraction results through $p$-number of subsets by using two different types of t-norm, viz. Hadzic type t-norm and minimum t-norm in the setting of 2- probabilistic metric spaces. Our results generalize some existing fixed point theorems in 2-Menger spaces. Some illustrative examples and an application to the existence of a solution to Airy’s type differential equation are also provided. | ||
کلیدواژهها | ||
2-probabilistic metric space؛ Cauchy sequence؛ Convergence sequence؛ cyclic contraction؛ p-cyclic contraction | ||
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