2-度量空间上满足若干个膨胀条件的两个映射的公共不动点  

COMMON FIXED POINTS FOR TWO MAPPINGS SATISFYING SOME EXPANSIVE CONDITIONS ON 2-METRIC SPACES

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《系统科学与数学》2013年第11期1370-1379,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11261062;11361064);吉林省教育厅"十二五"科学计划项目(吉教科合字[2011]第434号)资助课题

摘　　要：在2-度量空间上通过构造收敛序列讨论并证明了满足若干个膨胀型条件的两个映射的公共不动点的存在定理,并给出具有唯一公共不动点和唯一不动点的充分条件.所得结果是有关文献中已知结果在2-度量空间上的表现形式和推广形式.We discuss and obtain the existence theorems of common fixed points for two mappings satisfying some expansion conditions by constructing convergent sequences on 2-metric spaces, and give the sufficient conditions of the existence of unique common fixed point and unique fixed point. The obtained results are the versions and generalizations of the known conclusions in the corresponding references on 2-metric spaces.

关 键 词：膨胀映射 重合点 公共不动点 不动点 

分 类 号：O177.91[理学—数学]