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

Mebawondu, A . A; Mewomo, O. T

dc.contributor.author	Mebawondu, A . A
dc.contributor.author	Mewomo, O. T
dc.date.accessioned	2022-06-28T14:19:18Z
dc.date.available	2022-06-28T14:19:18Z
dc.date.issued	2021
dc.identifier.citation	Mebawondu, A. A. & Mewomo, O. T. (2021). Generalized dynamic process for generalized (ψ, S, F)-contraction with applications in b-Metric Spaces	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/309
dc.description.abstract	In this paper, we develop the notion of (ψ, F)-contraction mappings introduced in [49] in b-metric spaces. To achieve this, we introduce the notion of generalized multi-valued (ψ, S, F)-contraction type I mapping with respect to generalized dynamic process D(S, T, x0), generalized multi-valued (ψ, S, F)-contraction type II mapping with respect to generalized dynamic process D(S, T, x0), 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.	en_US
dc.description.sponsorship	Akindele Adebayo Mebawondu, Oluwatosin Temitope Mewomo	en_US
dc.language.iso	en	en_US
dc.publisher	Int. J. Nonlinear Anal. Appl.	en_US
dc.relation.ispartofseries	12;2
dc.subject	fixed point, dynamic process, generalized multi-valued (ψ, S, F)-contraction type, b-metric space; integral equations, dynamic programming.	en_US
dc.title	Generalized dynamic process for generalized (ψ, S, F)-contraction with applications in b-Metric Spaces	en_US
dc.type	Article	en_US