G-度量空间中满足公共(E.A)性质的三次方型压缩映象的公共不动点定理

Common Fixed Point Theorems for Third Power Type Contractive Mappings Satisfying Common(E.A)Property in G-metric Spaces

在G-度量空间中,引入了一类新的三次方型压缩条件,利用自映像对的公共(E.A)性质和弱相容的条件,证明了该类映像的一些新的公共不动点定理,并提供了一个支持该结果的实例.

In the framework of a G -metric space, a new class of third power type contractive condition is introduced, by using the concept of common （ E.A ） property and weakly compatibility condition of self-maps pairs, some new common fixed point theorems for this mappings are proved. It is worth pointing out that neither the completeness of space nor the continuity of any mapping is required in the theorems. Also, an example is provided to support the new result. The result obtained in this paper differs from the recent relative results in the literature.