Menger PM空间中约束不等式条件下的最优化问题  

An Optimization Problem Under Constraint Inequalities in Menger PM-Spaces

作　　者：吴照奇[1] 朱传喜[1] 袁成桂 WU Zhaoqi;ZHU Chuanxi;YUAN Chenggui(Department of Mathematics,Nanchang University,Nanchang 330031,China;Department of Mathematics,Swansea University,Swansea,SA28PP,UK)

机构地区：[1]南昌大学数学系,江西南昌330031 [2]斯旺西大学数学系,威尔士斯旺西SA28PP

出　　处：《应用数学》2023年第2期487-496,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(12161056,11701259,11771198);Natural Science Foundation of Jiangxi Province of China(20202BAB201001)。

摘　　要：本文通过研究一类最佳逼近点的问题,讨论了T-完备Menger PM空间上关于两个偏序的不等式约束的一类最优化问题解的存在性,所得结果推广了许多文献中的相关结果.此外,给出一个例子来阐明主要结果的有效性.In this paper,we discuss the existence of a solution to an optimization problem under two constraint inequalities with respect to two partial orders on a T-complete Menger PM-space by investigating a best proximity point problem.The obtained results generalize the corresponding ones in many literatures.Moreover,an example is also given to illustrate our main result.

关 键 词：Menger PM空间 偏序 约束不等式 最佳逼近点 最优化 

分 类 号：O177.91[理学—数学]