D~*-度量空间中次相容映象对的公共不动点定理

Some new fixed point theorems for pairs of sub-compatible maps in D~*-metric spaces

基于D^*-度量空间,首次引入次相容映象对和次序列连续映象对的概念,在去掉空间完备性的基础上证明了4个次相容且相对连续自映象的公共不动点问题.所得结果丰富了D^*-度量空间的公共不动点理论.

Based on the complete D^*-metric spaces, the notions of mapping pair sub-compatibility are firstly put forward, then the existence and uniqueness of common fixed point for four self-mappings are discussed, some new fixed point theorems are proved, which improved several relative results largely.