title: Some results on T-stability of Picard's iteration.
abstract: We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. As an application, we prove a theorem for integral equation. We also give illustrative examples to verify our results.
authors.affiliation: Department of Basic Sciences and Humanities, NIT Manipur, Imphal, 795001 India.
authors.forename: Thokchom
authors.identifier: 0000-0002-9740-7776
authors.initials: T
authors.lastname: Chhatrajit
authors.affiliation: Department of Basic Sciences and Humanities, NIT Manipur, Imphal, 795001 India.
authors.forename: Yumnam
authors.initials: Y
authors.lastname: Rohen
keywords: Fixed point theorem; Partial cone; Picard iteration; T-stable