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.
