[PDF] Top 20 Optimality and duality for nonsmooth multiobjective optimization problems

... In , Rockafellar wrote in his book that practical applications are not necessarily differentiable in applied mathematics (see []). So, dealing with nondifferentiable mathe- matical programming problems was very ... See full document

... in problems dealing with invexity, Jeyakumar and Mond 18 introduced the concept of V-invexity and its generalization for differentiable multiobjective programming ...to nonsmooth case was discussed by ... See full document

... sufficient optimality theorems for the multiobjective E-convex programming are established under the weakened assumption of the theorems in Megahed et ...mixed duality for the primal problem is ... See full document

... extremum problems are commonly called multiobjective fractional programming ...extremum problems arise from many applied areas including economics, engi- neering, game theory, numerous decision ... See full document

... type optimality conditions for a nondifferentiable multiobjective variational prob- lem are ...type optimality conditions, Mond-weir type second-order nondifferentiable multiobjective dual ... See full document

... sufficient optimality conditions for an efficient solution of the nondifferentiable multiobjective fractional programming problem are ...appropriate duality results are proved under higher-order (C, α , γ ... See full document

... is multiobjective non-linear fractional programming problem involving semilocally convex and related ...of multiobjective fractional programming and corresponding scalar fractional programming ...sufficient ... See full document

... of nonsmooth multiobjective programming ...sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz ...strong duality theorems for a strict minimizer ... See full document

... study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support ...Karush-Kuhn-Tucker optimality conditions with support functions are ...Sufficient ... See full document

... A multiobjective problem is a problem where two or more objective functions are to be minimized on an implicitly constrained feasible ...for optimality conditions and duality results, we often deal ... See full document

... necessary optimality conditions for those MPECs which can be treated by the implicit programming approach and proposed a solution method based on the bundle technique of nonsmooth ...considered ... See full document

... A multiobjective variational problem involving higher order derivatives is considered and optimality condi- tions for this problem are ...various duality results are validated under generalized ... See full document

... sufficient optimality conditions and ...programming problems can be solved ...practical problems, there have been many attempts to weaken the convexity assumptions and many concepts of generalized ... See full document

... a multiobjective optimization problem are introduced and are characterized via sufficient optimality conditions and higher-order mixed saddle points of a vector-valued partial ...corresponding ... See full document

... in optimization had a keen interest in approximate solutions of optimization ...an optimization problem can be computed by using iterative algorithms or heuristic ...vector optimization, the ... See full document

... In this paper, we have defined a class of new generalized functions. By using the new functions, we have presented a sufficient optimality condition and Wolfe type duality results for a nondifferentiable ... See full document

... bilevel multiobjective optimization, in the general case were both the higher and the lower level problems are ...by optimality con- ditions given by ...level) multiobjective ... See full document

... many problems from structural topology optimization can be reformulated as ...established optimality conditions for weak constraint ...necessary optimality conditions for multiobjective ... See full document

... This paper concerns some aspects of variational analysis related to generalized differentiation and its applica- tions to marginal/value functions and optimality conditions in problems of nonsmooth ... See full document

... the optimization is to establish necessary and sufficient optimality conditions if ...of optimality for approximate solutions only for the case where the data of the problem are ...in ... See full document