Pseudomonotone variational inequality problems : Existence of solutions
, 1997 Necessary and sufficient conditions for the set of solutions of a pseudomonotone variational inequality problem to be nonempty and compact are given.
Crouzeix, Jean-Pierre
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On paramonotone and pseudomonotone* maps
, 2009 We present a brief survey on two classes of single-valued and multivalued maps: the paramonotone maps and the pseudomonotone* maps. The former concept was introduced for the rst time in [5], the latter in [7] and it was slightly modied in [10].
GIULI, MASSIMILIANO, CASTELLANI, MARCO
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New Approximate Schemes for Generalized General Set-Valued Mixed Quasi Variational Inequalities [PDF]
, 2008 In this paper, we suggest and consider a class of new three-step approximation schemes for generalized general set-valued mixed quasi variational inequalities.
Shi, Chaofeng
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Vector Equilibrium Problems with Generalized Monotone Bifunctions
, 1997 A vector equilibrium problem is defined as follows: given a closed convex subset K of a real topological Hausdorff vector space and a bifunction F(x, y) valued in a real ordered locally convex vector space, find x*∈K such that F(x*, y)
Bianchi M.
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Variational inequalities and pseudomonotone functions
, 1998 The paper provides some characterizations of (strictly) pseudomonotone and (strictly) monotone functions by properties of the solutions to the associated variational inequality problems.
Reinhard John
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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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An alternative extragradient projection method for quasi-equilibrium problems. [PDF]
J Inequal Appl, 2018 Chen H, Wang Y, Xu Y.
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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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A NEW EXTRAGRADIENT METHOD FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES
, 2008 (communicated by Th. Rassias) Abstract. In this paper, we consider and analyze a new extragradient method for solving pseudomonotone variational inequalities.
Muhammad Aslam Noor
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Relations between nonsmooth vector variational inequalities and nonsmooth vector optimization problems on Hadamard manifold in terms of bifunction [PDF]
In this paper, we discuss the concepts of bifunction and geodesic convexity for vector valued functions on Hadamard manifold. The Hadamard manifold is a particular type of Riemannian manifold with non-positive sectional curvature.
Singh, Nagendra +2 more
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