Karapınar, ErdalKarapinar, ErdalO'Regan, DonalSamet, BessemMathematics2024-07-052024-07-052015111687-181210.1186/s13663-015-0401-72-s2.0-84940039773https://doi.org/10.1186/s13663-015-0401-7https://hdl.handle.net/20.500.14411/858KARAPINAR, ERDAL/0000-0002-6798-3254;Let T : X -> X be a given operator and F-T be the set of its fixed points. For a certain function phi : X -> [0,infinity), we say that F-T is phi-admissible if F-T is nonempty and F-T subset of Z(phi), where Z(phi) is the zero set of phi. In this paper, we study the phi-admissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the Boyd-Wong fixed point theorem.eninfo:eu-repo/semantics/openAccessphi-admissiblefixed pointhomotopy resultpartial metricOn the existence of fixed points that belong to the zero set of a certain functionArticleWOS:000360282900001