Systems of quasi-equilibrium problems with lower and upper bounds

Suliman Al-Homidan; Qamrul Hasan Ansari

doi:10.1016/j.aml.2006.04.016

Systems of quasi-equilibrium problems with lower and upper bounds

Suliman Al-Homidan, Qamrul Hasan Ansari^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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, V.M. Sehgal, S.P. Singh, An alternative version of a variational inequality, Indian J. Math. 41 (1999) 25-31].

Original language	English
Pages (from-to)	323-328
Number of pages	6
Journal	Applied Mathematics Letters
Volume	20
Issue number	3
DOIs	https://doi.org/10.1016/j.aml.2006.04.016
State	Published - Mar 2007

Keywords

Lower and upper bounds
Maximal element theorems
System of generalized implicit quasi-equilibrium problems
System of quasi-equilibrium problems

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2006.04.016

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title = "Systems of quasi-equilibrium problems with lower and upper bounds",

abstract = "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, V.M. Sehgal, S.P. Singh, An alternative version of a variational inequality, Indian J. Math. 41 (1999) 25-31].",

keywords = "Lower and upper bounds, Maximal element theorems, System of generalized implicit quasi-equilibrium problems, System of quasi-equilibrium problems",

author = "Suliman Al-Homidan and Ansari, \{Qamrul Hasan\}",

year = "2007",

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T1 - Systems of quasi-equilibrium problems with lower and upper bounds

AU - Al-Homidan, Suliman

AU - Ansari, Qamrul Hasan

PY - 2007/3

Y1 - 2007/3

N2 - 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, V.M. Sehgal, S.P. Singh, An alternative version of a variational inequality, Indian J. Math. 41 (1999) 25-31].

AB - 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, V.M. Sehgal, S.P. Singh, An alternative version of a variational inequality, Indian J. Math. 41 (1999) 25-31].

KW - Lower and upper bounds

KW - Maximal element theorems

KW - System of generalized implicit quasi-equilibrium problems

KW - System of quasi-equilibrium problems

UR - https://www.scopus.com/pages/publications/33751196135

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DO - 10.1016/j.aml.2006.04.016

M3 - Article

AN - SCOPUS:33751196135

SN - 0893-9659

VL - 20

SP - 323

EP - 328

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

Systems of quasi-equilibrium problems with lower and upper bounds

Abstract

Keywords

ASJC Scopus subject areas

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