Study Of Some Fixed Point Problems In Several Kinds Of B-Metric Spaces

Research of metric spaces and fixed point problem in Banach spaces have important significance and high theoretical value in the development of the theory of spaces.Also,the fixed point theory is widely applied in many branches of mathematics.Although the study of fixed point problem is perfect,it still needs further study in some generalized metric spaces.This article will study the fixed point problem for mappings satisfying different contractive condition in b-metric spaces,dislocated quasi b-metric spaces,cone b-Banach spaces and b₂-metricn spaces mainly.The results are as follows:1.The common fixed point theorem for generalized type Suzuki??,??-weak contractive mapping in b-metric spaces and common fixed point theorem for three self-mapping in b-metric spaces are established.2.In generalized b-metric spaces?i.e.dislocated quasi-b-metric spaces and b₂-metric spaces?,the common fixed point theorem of Geraghty type and the common fixed point theorem of F contractive mapping are established.3.In cone b-Banach spaces,the common fixed point theorem of multiple mappings is established by using the Mann iteration method and the condition of cone b-norm.