V-Fixed Point Theorem On Generalized Metric Space

First of all,we introduce some previous research results about the fixed point theorem in this paper.Secondly,we introduce a new concept of the C-class function on(?,?)-contractive mapping and provide sufficient conditions for the existence and uniqueness of the fixed point for this contractive mapping by using the iterative method in complete n-generalized metric space.On this basis,we prove the fixed point theorem of the (?,?)-type contractive mapping.Thirdly,we prove the fixed point theorem of the(?,?)-weak contractive mapping in complete ?-generalized metric space.Finally,we also make the research of the Khan type fixed point theorem and generalize the fixed point theorem of Khan type contractive mapping and the theorem of C-class function on Khan type contractive mapping in generalized metric space.And we obtain two fixed point theorems of the contractive mappings.