The Study Of The Fixed Point Problem In Generalized D-Metric Spaces

The fixed point problem is an important part in nonlinear functional anal-ysis,more and more mathematical researchers draw attention to the study and application of the fixed point problem.The paper is mainly put forward cone D-metric spaces over Banach algebras,and discuss the existence and uniqueness of several fixed point problems.The paper is divided into three parts as follows:1.The fixed point problem is studied in an new space structure which is defined by endowing cone D-metric spaces with Banach algebras;2.The existence and uniqueness of fixed point for self-mappings are dis?cussed by defining the.F-contractive mapping in D*-metric spaces and using different ways under the.F-contractive mapping conditions.3.The existence and uniqueness of coupled coincidence point of g and f having the mixed g-monotone property are proved by using the inclusion relation and commutative relation between f and g under F-contractive conditions in complete D*-metric spaccs.