Vector critical points and generalized quasi-efficient solutions in nonsmooth multi-objective programming [PDF]
In this work, several extended approximately invex vector-valued functions of higher order involving a generalized Jacobian are introduced, and some examples are presented to illustrate their existences.
Zhen Wang, Ru Li, Guolin Yu
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Multitime multiobjective variational problems via η-approximation method [PDF]
The present article is devoted to multitime multiobjective variational problems via η-approximation method. In this method, an η-approximation approach is applied to the considered problem, and a new problem is constructed, called as η- approximated ...
Jha Shalini +2 more
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E-B-invexity in E-differentiable mathematical programming
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differentiable optimization problem with E-differentiable functions. Namely, for an E-differentiable function, the concept of E-B-invexity is defined.
Najeeb Abdulaleem
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Generalized invexity and mathematical programs [PDF]
In this paper, using generalized convexity assumptions, we show that Mstationary condition is sufficient for global or local optimality under some mathematical programming problem with equilibrium constraints(MPEC).
Joshi Bhuwan Chandra +2 more
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In this paper, a new class of generalized convex optimization problems with a multiple interval-valued objective function is considered. The concepts of B-preinvexity, B-invexity, and the generalized of B-invexity are extended to interval-valued ...
Najeeb Abdulaleem
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Connections between Non-Linear Optimization Problems and Associated Variational Inequalities
In this paper, by using the invexity (or pseudoinvexity) and Fréchet differentiability of some integral functionals of curvilinear type, we state some relations between the solutions of a new non-linear optimization problem and the associated variational
Savin Treanţă +2 more
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Optimality conditions and duality in multiobjective programming with invexity [PDF]
(', ρ)-invexity has recently been introduced with the intent of generalizing invex functions in mathematical programming. Using such conditions we obtain new sufficiency results for optimality in multiobjective programming and extend some classical ...
Ferrara Massimiliano +1 more
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A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions [PDF]
In the present paper, a newly combined higher-order non-differentiable symmetric duality in scalar-objective programming over arbitrary cones is formulated.
Dubey Ramu +4 more
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On invex programming problem in Hilbert spaces [PDF]
In this paper we introduce the invex programming problem in Hilbert space. The requisite theory has been established to characterize the solution of such class of problems.
Chatterjee Sandip +1 more
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Higher order fractional variational symmetric duality over cone constraints [PDF]
The article aims at higher order fractional variational pair of symmetric dual formulations where constraints are defined over cones and explores pertinent duality output applying the idea of higher order η-invexity. Also, we bring into begin a numerical
Khatri Sony, Prasad Ashish Kumar
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