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

Arteriography

Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variationaquasiconvexity 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.

鉗子

Higher Order Properly Efficient Points in Vector Optimizationerivatives. Together with the optimality conditions obtained in [.] and [.] in the case of .-minimizers, they play a crucial role in the investigation. Further, to get a satisfactory answer to the posed reversal problem, we deal with sense I and sense II solution concepts, as defined in [.] and [.].

運動性

肉體

Throttle

Mathematical Programming with (,)-invexityWe introduce new invexity-type properties for differentiable functions, generalizing (.)-convexity. Optimality conditions for nonlinear programming problems are established under such assumptions, extending previously known results. Wolfe and Mond-Weir duals are also considered, and we obtain direct and converse duality theorems.

撕裂皮肉

oblique

Jacket

David B. Mertz,David E. McCauleydifferentiable multiobjective programming problem are presented. We also introduce a general Mond-Weir type dual problem of the problem and establish weak duality theorem under generalized convexity assumptions. Strong duality result is derived using a constraint qualification for nondifferentiable multiobjective programming problems.

貞潔

https://doi.org/10.1007/3-540-30326-Xn a function and the precomposition of another one with a linear operator hold even when the convexity assumptions are replaced by almost convexity or nearly convexity. We also show that the duality statements due to Fenchel hold when the functions involved are taken only almost convex, respectively nearly convex.

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