几类新的集值压缩映射的FG-耦合不动点  

FG-coupled Fixed Points of Several New Set-valued Contraction Maps

作　　者：杨红珍 YANG Hongzhen(College of Mathematic and Information, China West Normal University, Nanchong, Sichuan 637002)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《绵阳师范学院学报》2020年第5期5-10,共6页Journal of Mianyang Teachers＇ College

摘　　要：研究了在(q1,q2)-拟度量空间中,满足几类新的压缩条件的集值映射存在FG-耦合不动点.在完备的(q1,q2)-拟度量空间中,利用(q1,q2)-拟度量和Hausdorff度量的性质,讨论了两类新的集值压缩映射和一类新的平方型集值压缩映射的FG-耦合不动点的存在性.The FG-coupled fixed points of several kinds of new contraction conditions of set-valued mappings are studied in(q 1-q 2)-quasimetric spaces.In complete-quasimetric spaces,using the properties of(q 1-q 2)-quasimetric and Hausdorff metric,the two kinds of new set-valued contractive maps and a new class of square type of set-valued maps were introduced and the existence of FG-coupled fixed points were discussed.

关 键 词：(q1 q2)拟度量空间 HAUSDORFF度量 集值映射 压缩映射 FG-耦合不动点 

分 类 号：O177.91[理学—数学]