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Titlebook: Generalized Convexity and Related Topics; Igor V. Konnov,Dinh The Luc,Alexander M. Rubinov Conference proceedings 2006 Springer-Verlag Ber

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Combined Relaxation Methods for Generalized Monotone Variational Inequalities very mild assumptions. This is the case if there exists a solution to the dual formulation of the variational inequality problem. In general, these methods attain a linear rate of convergence. Several classes of applications are also described.
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Partitionable Variational Inequalities with Multi-valued Mappingsablish new existence and uniqueness results for the corresponding partitionable multi-valued variational inequalities. Following a parametric coercivity approach, we obtain convergence of the Tikhonov regularization method without monotonicity conditions.
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Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformationand only if the product between a quadratic fractional function and an affine one is pseudoconvex and we provide a sort of canonical form for this latter class of functions. Benefiting by the new results we are able to characterize the pseudoconvexity of the ratio between a quadratic fractional function and the cube of an affine one.
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Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimizationed by generalized Chebyshev norms and verifying both properties is introduced in order to characterize approximate solutions of vector optimization problems via approximate solutions of several scalarizations.
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The Third Way and Communitariansquasiconvexity plays a crucial role to extend scalar evidences. This class of functions, indeed, guarantees a Minty-type variational inequality is a necessary and sufficient optimality condition for several kind of efficient solution.
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