Results 1 to 10 of about 565 (171)

Vector critical points and generalized quasi-efficient solutions in nonsmooth multi-objective programming [PDF]

open access: yesJournal of Inequalities and Applications, 2017
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
doaj   +2 more sources

Multitime multiobjective variational problems via η-approximation method [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
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
doaj   +1 more source

E-B-invexity in E-differentiable mathematical programming

open access: yesResults in Control and Optimization, 2021
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
doaj   +1 more source

Generalized invexity and mathematical programs [PDF]

open access: yesYugoslav Journal of Operations Research, 2021
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
doaj   +1 more source

Optimality conditions in a class of generalized convex optimization problems with the multiple interval-valued objective function

open access: yesSystems and Soft Computing, 2023
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
doaj   +1 more source

Connections between Non-Linear Optimization Problems and Associated Variational Inequalities

open access: yesMathematics, 2023
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
doaj   +1 more source

Optimality conditions and duality in multiobjective programming with invexity [PDF]

open access: yesYugoslav Journal of Operations Research, 2008
(', 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
doaj   +1 more source

A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
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
doaj   +1 more source

On invex programming problem in Hilbert spaces [PDF]

open access: yesYugoslav Journal of Operations Research, 2015
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
doaj   +1 more source

Higher order fractional variational symmetric duality over cone constraints [PDF]

open access: yesYugoslav Journal of Operations Research, 2023
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
doaj   +1 more source

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