Abstract:
Weoftencomeacrossnonlinearsystemsandtheirassociatednonlinearequa-
tionsandbothpureandappliedmathematicsplayavitalroleindealing
with suchkindofequations.
When wetalkaboutnonlinearanalysis,itsfundamentalimportancein
physical,biological,engineeringandtechnologicalsciencescanbeseenin
the formulationandanalysisofvariousclassesofequation.
As faras xedpointtheoryisconcerned,itsextensivenesscanbeseenby
its applicationsinvarious elds.Theoremsthatareconcernedwiththeex-
istenceandpropertiesof xedpointsareknownas xedpointtheorems.
Thesetheoremsplayaveryimportantroleforprovingtheexistenceand
uniquenessofsolutionsforvariousmathematicalmodels.Metric xedpoint
theoryhastakenonnewdimensionssincetheinceptionofthewellknown
Banachcontractionprinciple,andthiscontractionprinciplegivesusareally suitablebaseto nd xedpointforselfmappings.Themainaimofthis thesisistoaddsomemorewidelyapplicableresultstotheliterature.
