Work

Efficiency criteria and dual models for multi-objective semi-infinite constrained minimization problems with vanishing restrictions

Year: 2025

Type: article

Abstract: This article delves into the analysis of semi-infinite multi-objective optimization problems characterized by constraints that gradually vanish. We establish sufficient efficiency criteria to determine whether a feasible solution attains a Pareto solution in the given multi-objective optimization problem considering the presence of vanishing constraints and suitable generalized convexity assumptions. We provide illustrative examples to confirm the validity of our findings. Additionally, we derive weak, converse, strong converse, and strong duality theorems for a dual model based on Mond–Weir principles, relying on generalized convexity assumptions.

Source: Computational and Applied Mathematics

DOI: 10.1007/s40314-025-03120-2

Authors: Murari Kumar Roy, Bhuwan Chandra Joshi, Savin Treanţă, Cristina-Florentina Marghescu

Institutions: Graphic Era University, University of Petroleum and Energy Studies, Academia Oamenilor de Știință din România, Universitatea Națională de Știință și Tehnologie Politehnica București

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

OpenAlex ID: W4407134166