[PDF] Top 20 On ε-optimality conditions for multiobjective fractional optimization problems

... get optimality conditions for an efficient solution of a multiobjective optimization problem, we often formulate a corresponding scalar ...an optimality condition for an efficient ... See full document

... programming problems arise when more than one objective function is to be optimized over a given feasible ...the optimality concept that appears to be the natural extension of the optimization of a ... See full document

... many problems from structural topology optimization can be reformulated as ...mality conditions for MPVCs. Hoheisel and Kanzow [] established optimality conditions for weak constraint ... See full document

... sufficient conditions and duality for non- linear programming ...sufficient optimality conditions for nonlinear programming ...for multiobjective programming problems are discussed in ... See full document

... practical problems encountered in economics, engineering design, and management science, and so forth can be described only by nonsmooth functions, consequently, the theory of nonsmooth optimization using ... See full document

... of multiobjective optimization problems involving set-valued maps (as well as those involving vector-valued functions) has developed in the recent years some gen- eralizations of convexity ... See full document

... In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for ... 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

... Multiobjective optimization problems occupy an important place in the theory of op- ...for multiobjective optimization problem have ap- peared in the literature ...scalar ... See full document

... extremum problems are commonly called multiobjective fractional programming ...problems. Fractional programming has an important significance in optimization ...extremum ... See full document

... Optimality conditions and duality results in multiobjective programming problems have attracted many researchers in recent ...of multiobjective optimization ...a ... See full document

... type optimality conditions for cone invex programs, and Jeyakumar and Mond 6 introduced the class of the so-called V-invex functions to proved some optimality for a class of differentiable vector ... See full document

... the optimality condi- tions of (FP), we can find a feasible solution of ...reasonable conditions are fulfilled, then (FP) and (D) have the same optimal value, and we have the following strong duality ... 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

... nonsmooth multiobjective programming problems including support functions with inequality and equality ...sufficient optimality conditions are obtained by using higher-order strong convexity for ... See full document

... of problems is called bilevel single objective optimiza- tion problems, or simply bilevel optimization ...Bilevel optimization is an important research area since about three decades and there ... See full document

... world optimization problems often involve data uncer- tainty or imprecision owing to measurement errors or some unexpected ...valued optimization [] is an important model to deal with the ... See full document

... problem Multiobjective fractional programming Primal (MFP) and Multiobjective fractional programming Dual (MFD) , the numerators are nonnegative and denominators are positive ; Denote by X the ... See full document

... approximate optimality conditions in terms of Ekeland’s variational principle and some of its ...approximate optimality conditions are established in the cases: convex, locally Lipschitz and ... See full document

... Yuan et al. [] introduced a class of functions called (C, α, ρ, d)-convex functions and de- rived duality theorems for a nondifferentiable minimax fractional programming problem under (C, α, ρ, d)-convexity. ... See full document