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Semi-infinite Discrete Minmax Fractional Programs
A set of generalized second-order parametric necessary optimality conditions and several sets of second-order sufficient optimality conditions for a... -
Estimates of upper bound for a kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h-preinvex functions
In this paper the notion of higher order strongly h -preinvex functions is presented, which unifies several known classes of preinvexity. An identity...
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Multiobjective Wolfe Type Second-Order Symmetric Duality
Symmetric duality in nonlinear programming in which the dual of the dual is the primal is first introduced by Dorn [28]. -
Accelerated Roles for Parametric Optimality
Based on the new notion of the generalized second-order $$(\phi ,\eta... -
Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity
In the present paper, we consider a nondifferentiable multiobjective programming problem with support functions and locally Lipschitz functions....
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Multiobjective Higher-Order Duality
We consider the following nonlinear programming problem: -
Efficiency conditions in vector control problems governed by multiple integrals
In this paper, we formulate and prove necessary and sufficient optimality conditions in multiobjective control problems which involve multiple...
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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) (... -
Some Remarks on Cone-Functions and Related Fields
The classic field of cone-functions is revisited to show their effectiveness for the applications to vector optimization. Then, another extension of...
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Preinvex Functions
The notion of invex functions was introduced by Hanson [37] as a generalization of differentiable convex functions. -
Nonsmooth semi-infinite minmax programming involving generalized (Φ,ρ)-invexity
This paper introduces some new generalizations of the concept of (Φ,ρ)-invexity for nondifferentiable locally Lipschitz functions using the tools of...
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Saddle Point Criteria in Nonsmooth Semi-Infinite Minimax Fractional Programming Problems
This paper considers a nonsmooth semi-infinite minimax fractional programming problem (SIMFP) involving locally Lipschitz invex functions. The...
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Multiobjective Second-Order Duality with Cone Constraints
Duality theory plays an important role in studying the solutions of nonlinear programming problems, and it has been of much interest and many... -
Sufficiency and duality for nonsmooth multiobjective fractional programming problems involving \((\Phi ,\rho ,\alpha )\)-V-invexity
In this paper, we consider a class of nonsmooth multiobjective fractional programming problems in which the involved functions are locally Lipschitz....
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On Second-Order Generalized Convexity
Second-order convex functions were introduced by Mond (Opsearch 11(2–3):90–99,
1974 ) in order to deal with second-order duality. Then that notion was... -
On vector variational-like inequalities involving right upper-Dini-derivative functions
In this paper, we introduce (weak) Stampacchia and Minty arcwise connected vector variational-like inequalities in the term of right...
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Higher Order Hybrid Invexity Frameworks and Discrete Multiobjective Fractional Programming Problems
Based on the higher order hybrid \((\varPhi ,\rho ,\eta ,\zeta ,\theta )-\)... -
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...