Systems of quasi-equilibrium problems with lower and upper bounds

نویسندگان

  • Suliman Al-Homidan
  • Qamrul Hasan Ansari
چکیده

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]. c © 2006 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2007