Mustafa, ZeadKarapınar, ErdalJaradat, M. M. M.Karapinar, ErdalMathematics2024-07-052024-07-05201762008-18982008-190110.22436/jnsa.010.04.61https://doi.org/10.22436/jnsa.010.04.61https://hdl.handle.net/20.500.14411/618Mustafa, Zead/0009-0001-7168-3342; KARAPINAR, ERDAL/0000-0002-6798-3254The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.eninfo:eu-repo/semantics/openAccessContractive mappingfixed pointpartial metric spaceproperty Pintegral equationsArticle10420662078WOS:000407569900061