Lagrangian duality for minimization of nonconvex multifunctions
Journal of Optimization Theory and Applications
&egr;-weak minimal solutions of vector optimization problems with set-valued maps
Journal of Optimization Theory and Applications
NN'10/EC'10/FS'10 Proceedings of the 11th WSEAS international conference on nural networks and 11th WSEAS international conference on evolutionary computing and 11th WSEAS international conference on Fuzzy systems
About fuzzy integrals for vector valued multifunctions
NNECFSIC'12 Proceedings of the 12th WSEAS international conference on Neural networks, fuzzy systems, evolutionary computing & automation
On a non-linear integral of multifunctions with respect to a fuzzy measure
MAMECTIS/NOLASC/CONTROL/WAMUS'11 Proceedings of the 13th WSEAS international conference on mathematical methods, computational techniques and intelligent systems, and 10th WSEAS international conference on non-linear analysis, non-linear systems and chaos, and 7th WSEAS international conference on dynamical systems and control, and 11th WSEAS international conference on Wavelet analysis and multirate systems: recent researches in computational techniques, non-linear systems and control
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We present the principal properties of the weak efficient points given in the literature. We study a vector optimization problems for multifunctions, defined with infimal and supremal efficient points in locally convex spaces ordered by convex, pointed closed cones with nonempty interior. We introduce and study the solutions for these problems using the algebraic and topological results for the efficient points. Also, we'll present the links between our problems and 2 special problems, the scalar and the approximate problems as well as some saddle points theorems and duality results using a suitable Lagrangian adapted for the INFSUP problem, a generalization of the MINMAX problem.