The Study Of Fixed Points In Generalized D*-metric Space

In recent years,the research on fixed point theory of cone metric space has gradually become a research hotspot of nonlinear functional analysis.In this paper,we mainly use sequence iteration method to study several fixed point theorems of contractive mapping in D*-metric space.The main results are as follows:1.A new F-contractive mapping theorem is proposed in a complete D*-metric space,and the fixed point theorem is proved.2.Based on the complete D*-metric space,the definition of partial ordered D*-metric space under the assigned Banach algebra is given,and the existence and uniqueness of the common fixed points of two weakly compatible self maps are proved.3.The concept of subconsistent mapping pair and subcontinuous mapping pair is introduced into D*-metric space to prove the common fixed point theorem of four self maps.