Some New Results on F-Contractions in 0-Complete Partial Metric Spaces and 0-Complete Metric-Like Spaces

Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding F-contractions in complete, ordinary metric space to 0-complete partial metric-like space. As Stan use less conditions than D. Wardovski did his paper from 2012, introduce, with help one our lemmas, a new method proving fixed point theory. Requiring that function F only be strictly increasing, obtain for consequence families contractive cannot found existing literature. Note complement many well-known Also, at end paper, have stated an application theoretical solving fractional differential equations.