一类Φ-压缩映象的公共不动点定理

The common fixed point theorems for a class of Φ-contraction mapping

首先建立了一类新的Φ-压缩映象,利用度量空间中自映象对相容和次相容的条件,讨论了完备度量空间中此类Φ-压缩映象的公共不动点的存在性与唯一性,得到了一个新的公共不动点定理.这一结果减弱了对映象对的可交换性和连续性的要求.

First,a new class of Φ-contractive mappings is constructed in my paper.By using the compatible and subcompatible conditions of self-mapping pair in metric spaces,the existence of common fixed point for this class of Φ-contractive mappings in complete metric spaces is discussed.A new common fixed theorem is obtained.This theorem reduces the demang for commutativity and continuity of mappings.