[PDF] Top 20 Optimality and Duality for Nondifferentiable Multiobjective Variational Problems with Higher Order Derivatives

... discussed duality for multiobjective variational problems involving generalized (F, ρ ) -convex ...weak duality theorem for nondifferentiable multiobjective ... See full document

... various problems appearing in dynamics of rigid bodies, optimization of orbits, theory of variations and many other ...the duality results of mathematical programming have analogous in varia- tional ... See full document

... different problems showing up in dynamics of rigid bodies, optimization of orbits, hypothesis of vibrations and numerous different fields The subjects whose significance is quickly developing in science and ... See full document

... of order m in nondifferentiable scalar ...vector problems and gave necessary conditions for strict ...second-order optimality conditions for vector optimization ...the ... See full document

... nondifferentiable multiobjective fractional programming problems in which every component of objective functions contains a term involving the support function of a compact convex ... See full document

... nondifferentiable multiobjective programming problem with support functions and locally Lipschitz ...sufficient optimality conditions are discussed for a strict minimizer of a nondifferentiable ... See full document

... of nondifferentiable multiobjective fractional pro-gramming ...of higher-order (F, a, r, d)-convexity, which extends some kinds of general- ized convexity, such as second order ... See full document

... of problems, in pure ...the duality results in the mathematical programming have the ana- logues in calculus of ...constrained variational problem as mathematical programming problem in abstract ... See full document

... multitime multiobjective variational problems of minimizing a vector-valued functional of curvilinear integral ...In order to prove the main results in the paper, we introduce the definition of ... See full document

... second order to multiobjective and vector optimization ...of order m for a multiobjective optimization problem and established only optimality for the concept of strict minimizer of ... See full document

... The relations (29)-(32) are all deducible from the classical Euler-Lagrange and Clebsch necessary optimality conditions. Particularly, the equations (29)-(32) are the famous Euler-Lagrange differential equation ... See full document

... symmetric higher-order Mond-Weir type nondifferen- tiable multiobjective programming problems and established usual duality results under higher-order F-convexity ...proved ... See full document

... sufficient optimality conditions for a class of nonsmooth semi-infinite minmax programming ...Sufficient optimality conditions and Mond-Weir duality results were obtained for nonsmooth ... See full document

... In order to prove converse duality between (VP) and (Mix D), the space X is now replaced by a smaller space X 2 of piecewise smooth thrice differentiable function x : I → R n with the norm kx k ∞ + kD xk ∞ ... See full document

... necessary optimality conditions [4] for the dual problem to establish the converse duality ...weak duality theorem given in [8] holds for problems (CP) and (d C ... See full document

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

... the duality relations for different dual problems of (P) under various generalized convexity ...ric higher-order Mond-Weir type nondifferentiable multiobjecive programming problems and ... See full document

... In this paper, we are motivated by Kuk and Tanino 15 to introduce generalized type I invex functions, called generalized V-type I invex functions, an extension of V- type I functions introduced by Hanson et al. 20 to ... See full document

... sufficient optimality criteria for a class of E- convex programming problems were discussed by Youness [], and E-Fritz-John and E- Kuhn-Tucker problems, which modified the Fritz-John and Kuhn-Tucker ... See full document

... nonsmooth multiobjective programming problem involving support ...nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions for inequality and equality ... See full document