A fixed point result in menger probabilistic b-partial metric space with an application

Luaibi, Hadeel Hussein; Abed, Salwa Salman

doi:10.47974/JIM-2286

Open Access Research Article

A fixed point result in menger probabilistic b-partial metric space with an application

^*Hadeel Hussein LuaibiCorresponding authorhadeel.h.l@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile → , Salwa Salman Abedsalwa.s.a@ihcoedu.uobaghdad.edu.iq salwaalbundi@yahoo.comDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile →

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pp. 1075–1084Vol. 29Issue 5-AMay 2026DOI: 10.47974/JIM-2286XML

Received:: 01 May 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2286
Pages:: 1075–1084

Abstract

In this article, the concept of Menger probabilistic b-partial metric spaces (or random partial b-metric spaces) are recalled and some concerning triangle functions. In the framework of such spaces, a (b, ψ, λ)-admissible and type of (b, ψ, λ Contractive mappings are presented in this space to prove a new general fixed point theorem in that special sense. Finally, it has been enhanced by applying it to solve a delay Volterra integral equation in C[a, b], as a complete Menger probabilistic b-partial metric space.

Keywords

Generalized metric spaces Probabilistic space Fixed points Integral equations

Subject Classifications

46B0945B99

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