On constrained set-valued optimization [PDF]
The set-valued optimization problem minC F(x), G(x)\(-K) 6= ; is considered, where F : Rn Rm and G : Rn Rp are set-valued functions, and C Rm and K Rp are closed convex cones.
Ginchev Ivan, Rocca Matteo
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On constraint qualifications with generalized convexity and optimality conditions [PDF]
This paper deals with a multiobjective programming problem involving both equality constraints in infinite dimensional spaces. It is shown that some constraint qualifications together with a condition of interior points are sufficient conditions for the ...
Do Van Luu, Manh-Hung Nguyen
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Notes on optimality conditions using Newton diagrams and sums of squares
, 2019 We consider relationships between optimality conditions using Newton diagrams and sums of squares of polynomials and power series.Comment: Corrected version of the article [Serdica Math. J.(2015) 41, pp.
Sekiguchi, Yoshiyuki
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First order optimality condition for constrained set-valued optimization [PDF]
A constrained optimization problem with set-valued data is considered. Different kind of solutions are defined for such a problem. We recall weak minimizer, efficient minimizer and proper minimizer.
Crespi Giovanni P. +2 more
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Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems. [PDF]
J Inequal Appl, 2017 Zhang W, Zeng J.
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Optimality for set-valued optimization in the sense of vector and set criteria. [PDF]
J Inequal Appl, 2017 Kong X, Yu G, Liu W.
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A class of generalized invex functions and vector variational-like inequalities. [PDF]
J Inequal Appl, 2017 Li R, Yu G.
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Minimizing measures of risk by saddle point conditions. [PDF]
The minimization of risk functions is becoming a very important topic due to its interesting applications in Mathematical Finance and Actuarial Mathematics. This paper addresses this issue in a general framework.
Balbás, Alejandro +2 more
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When are static and adjustable robust optimization problems with constraint-wise uncertainty equivalent? [PDF]
Math Program, 2018 Marandi A, den Hertog D.
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