Some F-compression Fixed Point Theorems In Different Metric Spaces

First of all,this article introduces some background knowledge about the fixed point theory and previous research results.Secondly,the generalized F-Suzuki contraction in b metric space is generalized.In the complete rectangular b metric space,a generalizedα-F-contraction is defined,and a fixed point theorem for this contraction is given.Thirdly,to generalizeα-F-contraction in the metric space,a weaklyα-F-contraction is defined in the complete b metric space,and the common fixed-point theorem for this contraction is given.Finally,we continue to study the problem of common fixed points,and generalize the theory of F-contraction common fixed point in metric space.In the complete metric space,we introduce a new type of common fixed point theorem for F-contraction.