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E-invexity and generalized E-invexity in E-differentiable multiobjective programming [PDF]

open access: yesITM Web of Conferences, 2019
In this paper, a new concept of generalized convexity is introduced for not necessarily differentiable vector optimization problems. For an E-differentiable function, the concept of E-invexity is introduced as a generalization of the E-differentiable E ...
Abdulaleem Najeeb
doaj   +4 more sources

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   +3 more sources

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   +2 more sources

Nondifferentiable generalized minimax fractional programming under (Ф,ρ)-invexity [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
In this paper, a class of nonconvex nondifferentiable generalized minimax fractional programming problems is considered. Sufficient optimality conditions for the considered nondifferentiable generalized minimax fractional programming problem are ...
Upadhyay B.B.   +3 more
doaj   +2 more sources

Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative

open access: yesOpen Physics, 2022
In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using the concept of weak minima.
Dubey Ved Prakash   +4 more
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

Higher-Order Wolfe Type Symmetric Fractional Programming Problem Under Generalized Assumptions [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2022
The Wolfe-type model over arbitrary cones is a new sort of model that we introduce in this article. We defend duality theorems under more generalized higher-order assumptions in the section after this.
Rajnish Kumar   +2 more
doaj   +1 more source

On duality for nonsmooth Lipschitz optimization problems [PDF]

open access: yesYugoslav Journal of Operations Research, 2009
We present some duality theorems for a non-smooth Lipschitz vector optimization problem. Under generalized invexity assumptions on the functions the duality theorems do not require constraint qualifications.
Preda Vasile   +2 more
doaj   +1 more source

On local quasi efficient solutions for nonsmooth vector optimization problems

open access: yesCroatian Operational Research Review, 2020
We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions.
Mohsine Jennane   +2 more
doaj   +1 more source

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