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The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions
The authors extend Tikhonov regularization to monotone equilibrium problems and pseudomonotone equilibrium problems. The conclusions are applied to multivalued pseudomonotone variational inequalities.
Phạm Gia Hưng, Lê Dũng Mưu
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Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions
By using quasimonotone and pseudomonotone bifunctions, we derive sufficient conditions which include weak coercivity conditions for existence of equilibrium points. As a consequence, we improve some recent results on the existence of such solutions.
M. Fakhar, J. Zafarani
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M. Raeisi, G. Zamani Eskandani
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Generalized quasimonotonicity and strong pseudomonotonicity of bifunctions
Optimization, 1996We extend some recent definitions of generalized monotonicity of maps such as strong pseudomonotonicity and (semi) strict quasimonotonicity, to real bifunctions h(x,d). Under a suitable continuity assumption on a function f we show that (semi) strict quasimonotonicity of the Dini derivatives D +(x,d) and D +(x,d) is equivalent to (semi) strict ...
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Generalized Vector Equilibrium Problems with Pseudomonotone Set-valued Bifunctions in FC-spaces
Ding Xie-ping
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