Approximate weak and proper subdifferentials of the difference of two vector convex mappings and applications

In this paper, we provide a general formula concerning the weak and proper approximate subdifferentials of the difference of two vector convex mappings (DC) in terms of the star difference.This formula is applied to establish necessary and sufficient approximate optimality conditions, characterizing weakly and properly approximate efficient solutions for a constrained DC programming problem and a constrained multiobjective fractional programming problem.

Publication Details

Journal
Journal of Applied and Numerical Optimization
Published
2025-01-01
DOI
https://doi.org/10.23952/jano.7.2025.1.05
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Approximate weak and proper subdifferentials of the difference of two vector convex mappings and applications

Journal of Applied and Numerical Optimization
Optimization and Variational Analysis
article

Approximate weak and proper subdifferentials of the difference of two vector convex mappings and applications

article en

Abstract

In this paper, we provide a general formula concerning the weak and proper approximate subdifferentials of the difference of two vector convex mappings (DC) in terms of the star difference.This formula is applied to establish necessary and sufficient approximate optimality conditions, characterizing weakly and properly approximate efficient solutions for a constrained DC programming problem and a constrained multiobjective fractional programming problem.

Journal of Applied and Numerical OptimizationVol. 7(1)
Reduced inequalities
Openalex Percentile: Top 94%
Optimization and Variational Analysis
DOIOpen Access PDFOpenAlex
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Approximate weak and proper subdifferentials of the difference of two vector convex mappings and applications · Journal of Applied and Numerical Optimization (2025) | TGRS Research Map | TGRS