| The fixed point theory of nonlinear operator is an important research con-tent in nonlinear functional analysis.In this paper,fixed point and common fixed point problems are studied in the generalized cone b-metric space,G-cone metric space and S-metric space,and the research contents are as follows1.Generalized cone b-metric space is defined,and generalized c1-distance is introduced into this space,then the fixed point theorems under generalized c1-distance in generalized cone b-metric space are proved by iteration method2.The definitions of G-cone metric space and weak compatibility are given,the fixed point theorem and the common fixed point theorem of weakly compatible mapping in complete G-cone metric space are studied and proved by iteration method3.The common fixed point theorems of compatible mapping in complete S-metric space are discussed and proved. |
