Browsing by Author "190b54d2-d201-47fe-a73a-50e83bc307d3"
Now showing items 1-6 of 6
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Khanh, Pham Duy (Taylor & Francis, 2016)This article proposes a new extragradient solution method for strongly pseudomonotone variational inequalities. A detailed analysis of the iterative sequences' convergence and of the range of applicability of the method ...
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Bui, Hoa T.; Khanh, Pham Duy; Tran, Thi Tu Trinh (Springer New York LLC, 2019)© 2018, Springer Science+Business Media, LLC, part of Springer Nature. Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces. ...
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Nguyen, Bao Tran; Khanh, Pham Duy (Springer, 2020)Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces ...
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Nguyen, Bao Tran; Khanh, Pham Duy (Springer, 2020)We provide some necessary and sufficient conditions for a proper lower semicontinuous convex function, defined on a real Banach space, to be locally or globally Lipschitz continuous. Our criteria rely on the existence of ...
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Khanh, Pham Duy; Moc, Tran Hong; Tran, Trinh T. T. (Taylor & Francis, 2019)Necessary and sufficient conditions for qualitative properties of infinite dimensional linear programing problems such as solvability, duality, and complementary slackness conditions are studied in this article. As ...
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Khanh, Pham Duy; Phat, Vo Thanh (Springer, 2020)For a C-2-smooth function on a finite-dimensional space, a necessary condition for its quasiconvexity is the positive semidefiniteness of its Hessian matrix on the subspace orthogonal to its gradient, whereas a sufficient ...