b-距离空间中均衡形式的向量值Ekeland变分原理  

Vectorial Ekeland's Variational Principle of Equilibrium Form in b-Metric Spaces

作　　者：刘萱 贺飞[1] LIU Xuan;HE Fei(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2023年第5期469-474,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(12061050,11561049);内蒙古自然科学基金项目(2020MS01004)。

摘　　要：在b-距离空间中建立了均衡形式的向量值Ekeland变分原理,由此推出了b-距离空间中向量值Caristi-Kirk型不动点定理和向量值Oettli-Thera定理,并得到上述三个定理之间的等价性。这些结果是b-距离空间数值形式结果的推广。In the setting of b-metric spaces,vectorial Ekeland's variational principle of equilibrium form,vectorial Caristi-Kirk's fixed point theorem and vectorial Oettli-Thera theorem are established.Moreover,the equivalence between the three theorems are shown.Our results are the generalization of results in b-metric spaces.

关 键 词：b-距离空间 EKELAND变分原理 Caristi-Kirk型不动点定理 Oettli-Thera定理 

分 类 号：O177.2[理学—数学]