Necessary optimality conditions for a multiobjective semi-infinite interval-valued programming problem

In this article, we are concerned with a multiobjective semi-infinite interval-valued problem P . The main results establish necessary optimality conditions based on advanced tools of variational analysis and generalized differentiation. Using an intermediate bi-criteria optimization problem togethe...

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Bibliographic Details
Published in:Optimization letters Vol. 16; no. 2; pp. 653 - 666
Main Authors: Gadhi, Nazih Abderrazzak, El Idrissi, Mohammed
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022
Subjects:
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Original Paper
Simulation
Extremal principle
Optimality conditions
Efficient solutions
Limiting subdifferential
Constraint qualification
Multiobjective semi-infinite Interval-valued optimzation
ISSN:1862-4472, 1862-4480
Online Access:Get full text
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Summary:In this article, we are concerned with a multiobjective semi-infinite interval-valued problem P . The main results establish necessary optimality conditions based on advanced tools of variational analysis and generalized differentiation. Using an intermediate bi-criteria optimization problem together with the approximate extremal principle as reported by (Variational Analysis and Generalized Differentiation, I: Basic Theory, Grundlehren Series (Fundamental Principles of Mathematical Sciences), Springer, Berlin 2006), (Variational Analysis and Generalized Differentiation: II. Applications, Grundlehren Series, Fundamental Principles of Mathematical Sciences, Springer, Berlin 2006), we develop fuzzy optimality conditions for P . Exact optimality conditions in terms of limiting subdifferentials and Karush-Kuhn-Tucker multipliers are then given with the help of an appropriate constraint qualification. Examples that illustrate our findings are also given.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-021-01743-y