Optimality Conditions in Uncertain Vector Optimization Problems with Variable Domination Structures via Gerstewitz Function

Zhenzhen Qin (), Qilin Wang (), Jie Wang () and Ching-Feng Wen ()
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Zhenzhen Qin: Chongqing Jiaotong University
Qilin Wang: Chongqing Jiaotong University
Jie Wang: Chongqing Jiaotong University
Ching-Feng Wen: National Yunlin University of Science and Technology

Journal of Optimization Theory and Applications, 2025, vol. 207, issue 2, No 5, 23 pages

Abstract: Abstract In this paper, we first investigate a few important properties of several set-order relations via the Gerstewitz function. Secondly, employing several set-order relations, we examine a unified approach to characterize robust strictly minimal solutions for uncertain vector optimization problems with variable domination structures. Finally, by utilizing scalarization methods, we establish the necessary and sufficient conditions for the robust strictly minimal solution of uncertain vector optimization problems with variable domination structures under more generalized assumptions.

Keywords: Uncertain vector optimization problems; Gerstewitz function; Variable domination structures; Optimality conditions; 54C60; 78M50; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02783-5

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