Approximate solutions of quasiequilibrium problems in Banach spaces

被引：6

作者：

Castellani, M. ^{[1
]}

Giuli, M. ^{[1
]}

机构：

[1] Univ Aquila, Dept Informat Engn Comp Sci & Math, I-67100 Laquila, Italy

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2016年 / 64卷 / 03期

关键词：

Quasiequilibrium problems; Lower semicontinuous set-valued maps; Fixed points; Approximate solutions;

D O I：

10.1007/s10898-015-0386-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this note we show that a recent existence result on quasiequilibrium problems, which seems to improve deeply some well-known results, is not correct. We exhibit a counterexample and we furnish a generalization of a lemma about continuous e-minimizers of quasiconvex functions depending on a parameter. This allows to establish an existence result of approximate solutions of quasiequilibrium problems.

引用

页码：615 / 620

页数：6

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