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

作　　者：陶陶 薛西锋 TAO Tao;XUE Xi-feng(School of Mathematics,Northwest University,Xi’an 710127,China)

机构地区：[1]西北大学数学学院

出　　处：《云南大学学报（自然科学版）》2020年第1期1-5,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：陕西省自然科学基金(202030009)

摘　　要：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.

关 键 词：D^-度量空间 次相容 相对连续 次序列连续 公共不动点定理 

分 类 号：O177.91[理学—数学]