Mond-Weir and Wolfe Duality of Set-Valued Fractional Minimax Problems in Terms of Contingent Epi-Derivative of Second-Order

Das, Koushik; Treanţă, Savin; Saeed, Tareq

doi:10.3390/math10060938

Cited by 2 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, Das et al [18] provided sufficient KKT-type second-order optimality conditions for a class of set-valued fractional minimax problems. Under contingent epi-derivative and generalized second-order cone convexity hypotheses, the authors formulated some duals for the considered problem.…”

Section: Introductionmentioning

confidence: 99%

Characterization Results of Solution Sets Associated with Multiple-Objective Fractional Optimal Control Problems

Treanţă

Saeed

2023

Mathematics

Self Cite

View full text Add to dashboard Cite

This paper investigates some duality results of a mixed type for a class of multiple objective fractional optimal control problems. More precisely, by considering the Wolfe- and Mond–Weir-type dualities, we formulate a robust mixed-type dual problem and, under suitable convexity assumptions of the involved functionals, we establish some equivalence results between the solution sets of the considered models. Essentially, we investigate robust weak, robust strong, and robust strict converse-type duality results. To the best of the authors’ knowledge, robust duality results for such problems are new in the specialized literature.

show abstract

Section: Introductionmentioning

confidence: 99%

Characterization Results of Solution Sets Associated with Multiple-Objective Fractional Optimal Control Problems

Treanţă

Saeed

2023

Mathematics

Self Cite

View full text Add to dashboard Cite

show abstract

Set-valued fractional programming problems with $ \sigma $-arcwisely connectivity

Das¹,

Treanţă

Khan

2023

MATH

View full text Add to dashboard Cite

<abstract><p>In this paper, we determine the sufficient Karush-Kuhn-Tucker (KKT) conditions of optimality of a set-valued fractional programming problem (in short, SVFP) $\rm (FP)$ under the suppositions of contingent epidifferentiation and $ \sigma $-arcwisely connectivity. We additionally explore the results of duality of parametric $\rm (PD)$, Mond-Weir $\rm (MWD)$, Wolfe $\rm (WD)$, and mixed $\rm (MD)$ kinds for the problem $\rm (FP)$.</p></abstract>

show abstract

Mond-Weir and Wolfe Duality of Set-Valued Fractional Minimax Problems in Terms of Contingent Epi-Derivative of Second-Order

Cited by 2 publications

References 19 publications

Characterization Results of Solution Sets Associated with Multiple-Objective Fractional Optimal Control Problems

Characterization Results of Solution Sets Associated with Multiple-Objective Fractional Optimal Control Problems

Set-valued fractional programming problems with $ \sigma $-arcwisely connectivity

Contact Info

Product

Resources

About