OPTIMALITY CONDITIONS IN NONLINEAR VECTOR OPTIMIZATION WITH VARIABLE ORDERING STRUCTURES

Jahn J, Khan AA (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Pure and Applied Functional Analysis Yokohama Publishers

Book Volume: 6

Pages Range: 1317-1331

Journal Issue: 6

Abstract

This paper investigates nonlinear vector optimization problems with variable ordering structures used for the objectives and the constraints. For these problems new necessary and sufficient optimality conditions are presented without differentiability assumptions. This theory works with non-constant Lagrange multipliers, it does not need any constraint qualification, and the functions are not assumed to be convex. These optimality conditions are applied to so-called conditional vector optimization problems being characterized by constraints and/or objective functions, which are only valid under a certain condition.

Authors with CRIS profile

Johannes Jahn Professur für Angewandte Mathematik

Involved external institutions

Rochester Institute of Technology (RIT) US United States (USA) (US)

How to cite

APA:

Jahn, J., & Khan, A.A. (2021). OPTIMALITY CONDITIONS IN NONLINEAR VECTOR OPTIMIZATION WITH VARIABLE ORDERING STRUCTURES. Pure and Applied Functional Analysis, 6(6), 1317-1331.

MLA:

Jahn, Johannes, and Akhtar A. Khan. "OPTIMALITY CONDITIONS IN NONLINEAR VECTOR OPTIMIZATION WITH VARIABLE ORDERING STRUCTURES." Pure and Applied Functional Analysis 6.6 (2021): 1317-1331.

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