链完备偏序集上广义向量均衡问题解映射的保序性

Abstract

Abstract:

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.

Key words: Chain-complete poset, Generalized vector equilibrium problems, Fixed point theorem, Order-preservation

CLC Number:

Yuehu Wang,Baoqing Liu. Order-Preservation of Solution Correspondence for Generalized Vector Equilibrium Problems on Chain-Complete Posets[J].Acta mathematica scientia,Series A, 2019, 39(6): 1483-1491.

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References 24

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

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