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The Modified Objective Function Method for Univex Multiobjective Variational Problems
In this paper, we use the modified objective function method for a class of nonconvex multiobjective variational problems involving univex functions....
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The study of certain optimization problems via variational inequalities
In this paper, by using some generalized convexity and differentiability (of Fréchet-type) hypotheses of the involved functionals, we establish...
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Introduction
Optimization problems are as old as science itself, implicit in the behavior of humanity. These are defined by their specific objective functions,... -
Robust Mathematical Programming Problems Involving Vanishing Constraints via Strongly Invex Functions
This manuscript demonstrates robust optimality conditions, Wolfe and Mond–Weir type robust dual models for a robust mathematical programming problem...
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Higher-Order Non-Symmetric Duality for Nondifferentiable Minimax Fractional Programs with Square Root Terms
In this paper, we emphasize on a nondifferentiable minimax fractional programming (NMFP) problem and obtain appropriate duality results for...
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A new model of economic order quantity associated with a generalized conformable differential-difference operator
The economic order quantity (EOQ) is the order quantity that minimizes the total holding costs and ordering costs. In this effort, we propose a...
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Optimality conditions for interval-valued univex programming
We introduce concepts of interval-valued univex map**s, consider optimization conditions for interval-valued univex functions for the constrained...
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Optimality and duality results for E-differentiable multiobjective fractional programming problems under E-convexity
A new class of (not necessarily differentiable) multiobjective fractional programming problems with E -differentiable functions is considered. The...
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Semi-infinite Multiobjective Fractional Programming II
This Chapter deals with constructing and examining some first-order parametric duality models and proving appropriate weak, strong, and converse... -
Semi-infinite Multiobjective Fractional Programming I
In this chapter, we first present three new classes of generalized convex functions involving Hadamard directional derivatives, namely, (strictly) (... -
Semi-infinite Multiobjective Fractional Programming III
The main purpose of this chapter is to present some formulations on some parameter-free duality models and numerous duality results for a... -
Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions
In this paper, we construct six generalized second-order parameter-free duality models, and prove several weak, strong, and strict converse duality...
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New Generation Parametric Optimality
Applying the new notion of the generalized $$(\phi ,\eta ,\rho ,\theta... -
Parametric Optimality in Semi-infinite Fractional Programs
Based on the second-order generalized ( \(\phi ,\)... -
Accelerated Roles for Parametric Optimality
Based on the new notion of the generalized second-order $$(\phi ,\eta... -
A Taxonomy and Review of the Multi-Objective Fractional Programming (MOFP) Problems
Optimizing the ratios within the constraints is called fractional programming or ratio optimization problem . If one can optimize several ratios...
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Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems
In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient...
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Mixed Type Duality in Multiobjective Fractional Programming Under Generalized ρ-univex Function
In this paper, three approaches given by Dinklebaeh (Manag Sci 13(7):492–498,
1967 ) and Jagannathan (Z Oper Res 17:618–630,1968 ) for both primal and...