Karapinar, ErdalMathematicsMathematics02. School of Arts and Sciences01. Atılım University2024-10-062024-10-0620181223-70272-s2.0-85059246068https://hdl.handle.net/20.500.14411/8919By a work of Jaggi, it is known that the existence of certain inequalities for continuous maps over metric spaces implies the existence and uniqueness of fixed points. In this paper, we show that if p denotes a partial metric, the existence of a rational form of type p(Tt,Ts) <= a(1) p(t,Tt).p(s,Ts)/d(t,s)+a(2)p(t,s) for some a 1 and a 2 with a(1) + a(2) < 1 for a continuous map T over a partial metric space leads to the same conclusions, that is, the existence and uniqueness of fixed points.eninfo:eu-repo/semantics/closedAccessJaggi-type contractionFixed PointPartial Metric SpaceContractions with Rational ExpressionArticle