Existence theorems for generalized vector equilibria with variable ordering relation
Keyword(s):
In this paper we study the solvability of the generalized vector equilibrium problem (for short, GVEP) with a variable ordering relation in reflexive Banach spaces. The existence results of strong solutions of GVEPs for monotone multifunctions are established with the use of the KKM-Fan theorem. We also investigate the GVEPs without monotonicity assumptions and obtain the corresponding results of weak solutions by applying the Brouwer fixed point theorem. These results are also the extension and improvement of some recent results in the literature.
2018 ◽
Vol 7
(4.10)
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pp. 694
2019 ◽
Vol 27
(3)
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pp. 231-257
Keyword(s):
Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces
2003 ◽
Vol 2003
(2)
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pp. 65-79
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2014 ◽
Vol 278
(3-4)
◽
pp. 649-661
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Keyword(s):
2018 ◽
Vol 21
(4)
◽
pp. 1027-1045
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