Prakasam, Senthil KumarGnanaprakasam, Arul JosephMani, GunaseelanJarad, FahdMatematik2024-01-242024-01-242023Prakasam, Senthil Kumar;...et.al. (2023). "Solving an integral equation via orthogonal generalized α-ψ-Geraghty contractions", AIMS Mathematics, Vol.8, No.3, pp.5899-5917.2473-6988https://doi.org/10.3934/math.2023297In this paper, we introduce orthogonal generalized O-alpha-psi-Geraghty contractive type mappings and prove some fixed point theorems in O-complete O -b-metric spaces. We also provide an illustrative example to support our theorem. The results proved here will be utilized to show the existence of a solution to an integral equation as an application.eninfo:eu-repo/semantics/openAccessO-B-Metric SpaceFixed PointO-?-AdmissibleOrthogonal Generalized O-?-?-Geraghty ContractionArticle835899591710.3934/math.20232972-s2.0-85144961224WOS:000906726400005Q1Q1