Continuity of solution maps of parametric quasiequilibrium problems
Parametric vector quasiequilibrium problems, Solution maps, Lower semicontinuity, Hausdorff lower semicontinuity, Upper semicontinuity, Continuity, Generalized concavity, Generalized pseudomonotonicity, 90C31, 49J40, 49K40,
Lam Anh, Phan Khanh
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Splitting Methods for Pseudomonotone Mixed Variational Inequalities
Journal of Mathematical Analysis and Applications, 2000 The author analyzes some algorithms for solving a monotone mixed variational inequality \(\;\langle Tu,v-u\rangle + \varphi (v)-\varphi(u)\geq 0,\quad\) for all\(\;v\in H\) with a Hilbert space \(H\), a nonlinear operator \(T:H\to H\) and a lower semicontinuous function \(\varphi:H\to R\cup \{+\infty\}.\) The resolvent operator technique is used to ...
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Auxiliary Problem Method for Mixed Variational-Like Inequalities
, 2011 [[abstract]]This paper deals with the convergence of the algorithm built on the auxiliary problem principle for solving a class of pseudomonotone type mixed variational-like inequalities.
L. C. Zeng; L. J. Lin ; J. C. Yao
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On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces. [PDF]
J Inequal Appl, 2018 Ceng LC, Agarwal RP, Yao JC, Yao Y.
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Hybrid proximal methods for equilibrium problems
, 2011 This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality ...
Barbara Panicucci +7 more
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A double projection algorithm for quasimonotone variational inequalities in Banach spaces. [PDF]
J Inequal Appl, 2018 Zheng L.
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Extragradient subgradient methods for solving bilevel equilibrium problems. [PDF]
J Inequal Appl, 2018 Yuying T, Dinh BV, Kim DS, Plubtieng S.
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On duality for generalized pseudomonotonic programming
Journal of Numerical Analysis and Approximation Theory, 1991 Summary: We considers a Mond type dual for pseudomonotonic programming with generalized linear constraints. Two duality results are obtained. In order to prove the ``strong duality theorem'' a linearization result for pseudomonotonic programming and the duality property of generalized linear programming are used. The strong duality theorem shows that a
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A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities. [PDF]
J Inequal Appl, 2017 Saddeek AM.
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A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results. [PDF]
Springerplus, 2016 Preechasilp P, Wangkeeree R.
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