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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Bibliographic Details
Published in:International journal of computer mathematics Vol. 100; no. 7; pp. 1601 - 1624
Main Author: Abdulaleem, Najeeb
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 03.07.2023
Taylor & Francis Ltd
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2023.2207389