Altun, IshakHancer, Hatice Aslan2020-06-252020-06-252019Altun, İ, ve Aslan Hacer, H. (2019). Almost picard operators. International Conference of Mathematical Sciences (ICMS 2019). s. 94.978-0-7354-1930-80094-243Xhttps://doi.org/10.1063/1.5136158https://hdl.handle.net/20.500.12587/78963rd International Conference of Mathematical Sciences (ICMS) -- SEP 04-08, 2019 -- Maltepe Univ, Istanbul, TURKEYThe concept of Picard operator is one of the most important concept of fixed point theory. As known, a self mapping T of a metric space X is called Picard operator (PO) if it has unique fixed point and every Picard iteration sequence converges to this fixed point. There are some weaker forms of PO in the literature as weakly Picard operator (WPO) and pseudo Picard operator (PPO). In this study, we present a new kind of PO as almost Picard operator (APO) and we show the differences from the others. Then we show that every continuous P-contractive self mapping of a compact metric space is APO. Also we present some open problems.eninfo:eu-repo/semantics/openAccessFixed pointPicard operatorcomplete metric spaceConference Object218310.1063/1.51361582-s2.0-85076678278Q4WOS:000505225800055N/A