Fixed Point Of Ordered Contractive Maps

This thesis is devoted to investigating the existence of fixed points for some nonlinear mappings in ordered Banach space. We first introduce several new ordered contractive mappings, then, applying the cone theory and the monotone iterative techniques, we prove the existence of fixed points for such mappings.In chapter one, we present some background and the corresponding results about the fixed points in ordered Banach spaces; In chapter two, we give the necessary preliminaries which will be used later; Finally, in chapter three, we state and prove our main results.