| In recent years,all kinds of common fixed point theorem in metric space have been widely studied by many scholars,this paper mainly content is a further research on the basis of the predecessors,In the S metric space,partially ordered S metric space,G metric space and multiplicative metric space some new common fixed point theorems are obtained,these results extend and improve the existing theorem,has very important theoretical significance and application value.The first chapter of this paper introduces the development and application of fixed points at home and abroad,and gives a brief overview of the whole paper.In this paper,the second chapter in G metric space the relevant conclusions are generalized to S metric Spaces,the twice power type mappings in S metric space is proved of common fixed point theorem,and demonstrated the effectiveness of the proposed theorem.In this paper,the third chapter is the partially ordered G metric space the relevant conclusions are generalized to partially ordered of S in metric space,through the compatibility and comparable properties proves that the partially ordered of coupling common fixed point theorem in S metric space.In the fourth chapter,this paper introduces a new class of third power type contractive conditions in G metric space,by using the concept of common?E,A?property and weakly compatibility condition of self-maps pairs proved a new common fixed point theorems of the mappings type.It's also worth pointing out is that neither need space of completeness in our theorem,also do not need any mappings of continuity,We also provide a support the results of practical examples.In the fifth chapter by using weakly commuting condition,weakly compatible condition and(CLR?S,T?)property in multiplicative metric space,this paper proves two new common fixed point theorems for two pairs of multiplicative expansive self-mappings in the multiplicative.As mentioned above all the result is different from the results in the current literature. |
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