Fixed points results of dominated mappings on a closed ball in ordered partial metric spaces without continuity

Abstract

Fixed point results for mappings satisfying locally contractive condi- tions on a closed ball in a complete ordered partial metric space have been es- tablished without the assumption of continuity. Instead of monotone mapping, the notion of dominated mappings of Economics, Finance, Trade and Industry is also been applied to approximate the unique solution of non linear functional equations. We have used weaker contractive conditions and weaker restrictions to obtain unique xed points. An example is given which shows that how this result can be used when the corresponding results can not. Our results improve some well-known,primary and conventional results.