Systems of quasi-equilibrium problems with lower and upper bounds

被引：7
|
作者：
Al-Homidan, Suliman
Ansari, Qamrul Hasan
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 03期
关键词：
system of quasi-equilibrium problems; system of generalized implicit quasi-equilibrium problems; lower and upper bounds; maximal element theorems;
D O I：
10.1016/j.aml.2006.04.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider systems of quasi-equilibrium problems with lower and upper bounds and establish the existence of their solutions by using some known maximal element theorems for a family of multivalued maps. Our problems are more general than the one posed in [G. Isac, V.M. Sehgal, S.P. Singh, An alternative version of a variational inequality, Indian J. Math. 41 (1999) 25-31]. As a particular case, we also get the answer to the problem raised in [G. Isac, VM. Sehgal, S.P. Singh, An alternative version of a variational inequality, Indian J. Math. 41 (1999) 25-31]. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：323 / 328
页数：6
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