G-度量空间中一类满足公共(E.A)性质的新型压缩映象的公共不动点定理

Common Fixed Point Theorems for a Class of New Contraction Mappings Satisfying Common(E.A)Property in G-Metric Space

在G-度量空间的框架中,利用自映象的弱相容条件,我们证明了一类满足公共(E.A)性质的新型压缩映象的公共不动点定理,并且新结果中对空间的完备性和映象的连续性均不作要求,因而本质地拓广了当前的一些已知结果.而且还提供了一个支持新结果的实际例子.

In the framework of G-metric space,a class of common fixed point theorems for a new type of contractive mapping which satisfies the common(E.A)property is proved by using the weak compatibility condition of self-mapping.In the condition of the theorem,neither the completeness of space nor the continuity of mapping are required,so that some known results are essentially extended.Moreover,a practical example is provided to support the new results.