一类新的Φ-压缩型映象的公共不动点定理

Common fixed point theorems for a class of new Φ-contractive type mappings

目的验证一个新的公共不动点定理的存在性。方法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一类新的Φ-压缩型映象的公共不动点的存在性与唯一性。结果严格地证明了该不动点定理是成立的。结论得到了一个新的公共不动点定理,并且对该定理进行了推广。

Aim To prove the existence of a new common fixed point theorem.Methods The existence and uniqueness of common fixed point for a class of new Φ-contractive type mappings in complete metric spaces are discussed by using the compatible and subcompatible conditions of self-mapping pairs in metric spaces.Results This common fixed point theorem has completely proved to be true.Conclusion A new common fixed theorem is obtained,moreover,this theorem is generalized.