积分型轨道压缩映象的不动点定理研究

Research on fixed point theorem for integral type orbitally contractive mappings

在完备度量空间和2-距离空间中研究积分型轨道压缩映象不动点的存在性,在一定条件下证明了积分型轨道压缩映象的不动点定理,从而将相关文献中的结果推广到了积Φ-φ-型轨道压缩映象类和积分Altman型轨道压缩映象类.

The existence of fixed point for integral type orbitally contractive mappings in complete metric spaces and 2-metric spaces was studied, the fixed point theorem for integral type orbitally contractive mappings was proved under certain conditions, which extended some known results in the related literature to integral Φ-φ-type orbital compression mapping class and integral Altman type orbital compression mapping class.