链完备偏序集上广义向量均衡问题解映射的保序性  

Order-Preservation of Solution Correspondence for Generalized Vector Equilibrium Problems on Chain-Complete Posets

作　　者：王月虎[1] 刘保庆[2] Wang Yuehu;Liu Baoqing(School of Management Science and Engineering,Nanjing University of Finance and Economics,Nanjing 210023;School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210023)

机构地区：[1]南京财经大学管理科学与工程学院,南京210023 [2]南京财经大学应用数学学院,南京210023

出　　处：《数学物理学报（A辑）》2019年第6期1483-1491,共9页Acta Mathematica Scientia

基　　金：江苏高校哲学社会学研究项目(2017SJB0238);江苏省高校自然科学研究面上项目(16KJB110009);江苏省自然科学基金项目(BK20171041)~~

摘　　要：在链完备偏序集上研究了一类参数广义向量均衡问题解映射的上保序性.与已有关注向量均衡问题解的存在性、拓扑连续性和迭代算法的研究相比,保序性是一个全新的课题,它对分析均衡解的变化趋势具有重要意义.由于主要研究工具为序不动点定理和保序选择定理,获得的结果不再要求相关映射具有任何凸性和连续性.In this paper,we explore the upper order-preservation of solution correspondence for parametric generalized vector equilibrium problems on chain-complete posets.In contrast to the previous results which mainly focus on the existence,topological continuity and algorithms,the order-preservation is a new subject for generalized vector equilibrium problems and it is useful for predicting the changing trend of solutions.Since our approaches are order-theoretic fixed point theorems and isotone selection theorems,neither convexity nor continuity is required for the mapping F.

关 键 词：链完备偏序集 广义向量均衡问题 不动点定理 保序性 

分 类 号：O24[理学—计算数学]