Probabilistic Airy's type equation with third order minimum norm

	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
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
آمار تعداد مشاهده مقاله: 17,556 تعداد دریافت فایل اصل مقاله: 12,417

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