Mebawondu, Akindele, Mewomo, Oluwatosin. (1400). Generalized dynamic process for generalized $(\psi, S,F)$-contraction with applications in $b$-Metric Spaces. هنرهای کاربردی, 12(2), 1947-1964. doi: 10.22075/ijnaa.2021.23400.2531
Akindele Adebayo Mebawondu; Oluwatosin Temitope Mewomo. "Generalized dynamic process for generalized $(\psi, S,F)$-contraction with applications in $b$-Metric Spaces". هنرهای کاربردی, 12, 2, 1400, 1947-1964. doi: 10.22075/ijnaa.2021.23400.2531
Mebawondu, Akindele, Mewomo, Oluwatosin. (1400). 'Generalized dynamic process for generalized $(\psi, S,F)$-contraction with applications in $b$-Metric Spaces', هنرهای کاربردی, 12(2), pp. 1947-1964. doi: 10.22075/ijnaa.2021.23400.2531
Mebawondu, Akindele, Mewomo, Oluwatosin. Generalized dynamic process for generalized $(\psi, S,F)$-contraction with applications in $b$-Metric Spaces. هنرهای کاربردی, 1400; 12(2): 1947-1964. doi: 10.22075/ijnaa.2021.23400.2531

Generalized dynamic process for generalized $(\psi, S,F)$-contraction with applications in $b$-Metric Spaces

International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 1947-1964    اصل مقاله (464.45 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23400.2531
نویسندگان
Akindele Adebayo Mebawondu؛ Oluwatosin Temitope Mewomo*
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
چکیده
In this paper, we develop the notion of $(\psi, F)$-contraction mappings introduced in [49] in $b$-metric spaces. To achieve this, we introduce the notion of generalized multi-valued $(\psi, S, F)$-contraction type I mapping with respect to generalized dynamic process $D(S, T, x_0),$ generalized multi-valued $(\psi, S, F)$-contraction type II mapping with respect to generalized dynamic process $D(S, T, x_0),$ and establish common fixed point results for these classes of mappings in complete $b$-metric spaces. As an application, we obtain the existence of solutions of dynamic programming and integral equations. The results presented in this paper extends and complements some related results in the literature.
کلیدواژه‌ها
fixed point؛ dynamic process؛ generalized multi-valued $(\psi,S,F)$-contraction type؛ $b$-metric space؛ integral equations؛ dynamic programming
مراجع
آمار
تعداد مشاهده مقاله: 16,117
تعداد دریافت فایل اصل مقاله: 9,625
دانشگاه سمنان
پیوندهای مفید
آمار
تعداد نشریات22
تعداد شماره‌ها720
تعداد مقالات10,356
تعداد مشاهده مقاله72,718,473
تعداد دریافت فایل اصل مقاله64,346,332