2-度量空间上映射族的重合点和公共不动点定理的改进  

IMPROVEMENTS OF COINCIDENCE POINT AND COMMON FIXED POINT THEOREMS FOR MAPPINGS ON 2-METRIC SPACES

作　　者：韩银环[1] 朴勇杰[2] HAN Yinhuan PIAO Yongjie(College of Mathematics and Physics, Qingdao University of Science ＆ Technology, Qingdao 266061 Department of Mathematics, College of Science, Yanbian University, Yanji 133002)

机构地区：[1]青岛科技大学数理学院,青岛266061 [2]延边大学理学院数学系,延吉133002

出　　处：《系统科学与数学》2016年第10期1771-1778,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11361064)资助课题

摘　　要：考察了满足带有控制项的膨胀条件的两个映射,利用新的方法和思路证明了满足第Ⅱ及第Ⅲ膨胀条件的两个映射的重合点和公共不动点的存在定理.所得结果进一步推广和改进了文献中的相应结论.We consider two mappings satisfying expansive conditions with control- ling items and use new method and idea to prove existence theorems of coincidencepoints and common fixed points for two mappings satisfying II-expansive and III- expansive conditions. The obtained results further generalize and improve the corre- sponding conclusions in references.

关 键 词：膨胀映射 弱相容的 重合点 公共不动点 

分 类 号：O177.91[理学—数学]