Altun, IshakDurmaz, GoncaOlgun, Murat2020-06-252020-06-252018Ishak Altun, Gonca Durmaz, Murat Olgun, P-contractive mappings on metric spaces, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 43, pp. 1-7.2052-532Xhttps://doi.org/10.23952/jnfa.2018.43https://hdl.handle.net/20.500.12587/7471Altun, Ishak/0000-0002-7967-0554In the present paper, we introduce a new concept of P-contractive mappings on metric spaces. We prove that every ordinary contractive mapping is also P-contractive but the converse may not be true in general. We provide an example to illustrate this fact and also provide some examples to show that nonexpensive mappings and P-contractive mappings are independent on metric spaces. Finally, we present that every continuous P-contractive mapping on compact metric spaces has a unique fixed point. This result includes the famous Edelstein fixed point theorem.eninfo:eu-repo/semantics/openAccessContractive mappingP-contractive mappingFixed pointCompact metric spaceArticle10.23952/jnfa.2018.432-s2.0-85070272522Q1WOS:000454873800004N/A