[PDF] Top 20 Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization
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Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization
... of multiobjective programming, has grown remarkably in different direc- tional in the setting of optimality conditions and duality theory since ... See full document
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Optimality and duality for nonsmooth multiobjective optimization problems
... nondifferentiable multiobjective programs with the sup- port ...established duality theorems for nondifferentiable mul- tiobjective programming problems under generalized convexity ...the ... See full document
11
Optimality and Duality in Nonsmooth Multiobjective Optimization Involving V Type I Invex Functions
... differentiable multiobjective programming ...to nonsmooth case was discussed by Egudo and Hanson ...established optimality conditions and duality results in nonsmooth scalar programming ... See full document
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Duality in nondifferentiable minimax fractional programming with B (p, r) invexity
... and duality for non- linear programming ...sufficient optimality conditions for nonlinear programming ...and duality for multiobjective programming problems are discussed in [14], and ... See full document
14
Higher Order Duality for Minimax Fractional Type Programming Involving Symmetric Matrices
... the optimality conditions of [1], Tanimoto [2] defined a first-order dual problem of , which gene- ralized the duality theorems for convex minimax pro- gramming problems considered by Weir [3] and ... See full document
6
Duality without constraint qualification in nonsmooth optimization
... a nonsmooth multiobjective optimization problem with inequal- ity ...for optimality are given without the need of a constraint ...some duality results are obtained without a constraint ... See full document
11
Nonconvex composite multiobjective nonsmooth fractional programming
... developing optimality conditions and duality relations for nonsmooth multiobjective programming problems involving locally Lipschitz ...sufficient optimality conditions for the ... See full document
10
Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems
... in optimization theory. Therefore, the sufficient optimality conditions for proper efficiency and several duality theorems in the sense of Mond-Weir and in the sense of Wolfe, which have been ... See full document
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Optimality Conditions and Second Order Duality for Nondifferentiable Multiobjective Continuous Programming Problems
... Second-order duality in mathematical programming has been extensively investigated in the ...various duality re- sults under an involved invexity-like ...order duality for the problem of [1], by in- ... See full document
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Optimality and duality results for E differentiable multiobjective fractional programming problems under E convexity
... called multiobjective fractional programming ...Therefore, optimality conditions and duality results for various classes of multiobjective fractional programming problems have been of much ... See full document
24
Optimality Conditions for Approximate Solutions in Multiobjective Optimization Problems
... 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
17
Optimality and duality results for a nondifferentiable multiobjective fractional programming problem
... various optimality and duality results have been obtained for multiobjective fractional programming ...[], multiobjective fractional problem and its duality theorems have been ... See full document
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Duality Theorems for Convex Semidefinite Optimization Problems with Conic Constraints
... convex optimization problems, which hold without any constraint ...convex optimization problem which satisfies -optimality ...point theorems and -duality theorems for convex ... See full document
13
Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
... study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support ...Karush-Kuhn-Tucker optimality conditions with support functions are ...Sufficient ... See full document
12
Optimality and mixed duality in multiobjective E convex programming
... 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 ... See full document
13
Optimality and Duality Defined by the Concept of Tempered Fractional Univex Functions in Multi-Objective Optimization
... In this study, we aim to generalize the concept of tempered Univex functions by utilizing a tempered fractional differential-difference operator (Dunkl operator), based on different types of fractional cal- culus. This ... See full document
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Sufficiency and Wolfe Type Duality for Nonsmooth Multiobjective Programming Problems
... of nonsmooth multiobjective programming problems is ...of nonsmooth multiobjective programming ...sufficient optimality conditions, weak and strong duality theorems are ... See full document
9
Duality for nondifferentiable multiobjective higher order symmetric programs over cones involving generalized (F,α,ρ,d) convexity
... Multiobjective optimization has a large number of ...etc. Optimality conditions for multi- objective programming problems can be found in Miettinen [] and Pardalos et ...tive optimization. ... See full document
16
On ε-optimality conditions for multiobjective fractional optimization problems
... gave optimality conditions for convex (scalar) optimization problems, which hold without any constraint ...ε-optimality theorems for a convex multiobjective optimization ...a ... See full document
13
Higher Order Minimizers and Generalized (F,ρ) Convexity in Nonsmooth Vector Optimization over Cones
... a nonsmooth vector optimization problem over ...sufficient optimality results are proved involving these ...strong duality results are ... See full document
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