Results 11 to 20 of about 332 (162)
Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization [PDF]
Journal of Function Spaces, 2016 Continuity (both lower and upper semicontinuities) results of the Pareto/efficient solution mapping for a parametric vector variational inequality with a polyhedral constraint set are established via scalarization approaches, within the framework of ...
Xin Zuo, Hong-Zhi Wei, Chun-Rong Chen
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Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings [PDF]
Abstract and Applied Analysis, 2014 We consider a strong mixed vector equilibrium problem in topological vector spaces. Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for ...
Adem Kılıçman +2 more
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Generalized Vector Equilibrium-Like Problems without Pseudomonotonicity in Banach Spaces
Journal of Inequalities and Applications, 2007 Let X and Y be real Banach spaces, D a nonempty closed convex subset of X, and C:D→2Y a multifunction such that for each u∈D, C(u) is a proper, closed and convex cone with intC(u)≠∅, where intC(u) denotes the interior of C(u). Given
Lu-Chuan Ceng +2 more
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Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities [PDF]
Journal of Applied Mathematics, 2012 We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique.
Muhammad Aslam Noor +3 more
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Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds [PDF]
Journal of Applied Mathematics, 2012 We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity,
Muhammad Aslam Noor, Khalida Inayat Noor
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Pseudomonotone Diagonal Subdifferential Operators
Journal of Convex Analysis, 2013 Let f f be an equilibrium bifunction defined on the product space
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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Quasimonotone versus pseudomonotone
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1996 Under some natural hypotheses, we show that if the (Nemitsky-) operator associated with an elliptic system is pseudomonotone, then the system has to be quasimonotone. Conversely, if the system satisfies a strict quasimonotonicity condition, then an existence proof of K.-W.
Rüdiger Landes
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In real Hilbert spaces, let the CFPP indicate a common fixed‐point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a variational inequality problem, respectively.
Yun-Ling Cui +7 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 A literature review revealed that the general variational inequalities, fixed‐point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed‐point problem are considered. We introduced a new iterative method based on a self‐adaptive predictor‐corrector approach for finding a solution to the GVI ...
Kubra Sanaullah +5 more
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A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin +2 more
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