Optimality conditions for a class of E-differentiable vector optimization problems with interval-valued objective functions under E-invexity

In this paper, a class of E-differentiable multiobjective programming with multiple objective functions and with both inequality and equality constraints is considered. The so-called E-Karush-Kuhn-Tucker necessary optimality conditions for a (weak LS-Pareto) LS-Pareto solution are established for th...

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Vydáno v:International journal of computer mathematics Ročník 100; číslo 7; s. 1601 - 1624
Hlavní autor: Abdulaleem, Najeeb
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 03.07.2023
Taylor & Francis Ltd
Témata:
E-differentiable function
E-differentiable interval-valued objective function
E-Karush-Kuhn-Tucker optimality conditions
LU and LS-E-invex functions
Mathematical programming
Multiple objective analysis
Optimization
ISSN:0020-7160, 1029-0265
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Abstract In this paper, a class of E-differentiable multiobjective programming with multiple objective functions and with both inequality and equality constraints is considered. The so-called E-Karush-Kuhn-Tucker necessary optimality conditions for a (weak LS-Pareto) LS-Pareto solution are established for the considered E-differentiable vector optimization problem with the multiple interval-valued objective functions. Also several sufficient optimality conditions for both LU and LS order relations are derived for such interval-valued vector optimization problems under (generalized) E-invexity hypotheses.
AbstractList In this paper, a class of E-differentiable multiobjective programming with multiple objective functions and with both inequality and equality constraints is considered. The so-called E-Karush–Kuhn–Tucker necessary optimality conditions for a (weak LS-Pareto) LS-Pareto solution are established for the considered E-differentiable vector optimization problem with the multiple interval-valued objective functions. Also several sufficient optimality conditions for both LU and LS order relations are derived for such interval-valued vector optimization problems under (generalized) E-invexity hypotheses.
Author Abdulaleem, Najeeb
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SubjectTerms E-differentiable function
E-differentiable interval-valued objective function
E-Karush-Kuhn-Tucker optimality conditions
LU and LS-E-invex functions
Mathematical programming
Multiple objective analysis
Optimization
Title Optimality conditions for a class of E-differentiable vector optimization problems with interval-valued objective functions under E-invexity
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