most citedA note on approximate Karush-Kuhn-Tucker conditions in locally Lipschitz multiobjective optimization

7 citations · 8 across the 5 of their papers we have counts for

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5 papers

math.OC2018★ 1 cited

On second-order sufficient optimality conditions for vector optimization problems

Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen +1

In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of vector optimization…

math.OC2018

Differential stability of convex optimization problems with possibly empty solution sets

Duong Thi Viet An, Jen-Chih Yao

As a complement to two recent papers by An and Yen [An, D.T.V., Yen, N.D.: Differential stability of convex optimization problems under inclusion constraints. Appl. Anal., 94, 108-…

math.OC2017

Second-order KKT optimality conditions for multi-objective optimal control problems

Bui Trong Kien, Nguyen Van Tuyen, Jen-Chih Yao

In this paper, we study second-order necessary and sufficient optimality conditions of Karush--Kuhn--Tucker-type for locally optimal solutions in the sense of Pareto to a class of…

math.OC2017★ 7 cited

A note on approximate Karush-Kuhn-Tucker conditions in locally Lipschitz multiobjective optimization

Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen

In the recent paper of Giorgi, Jiménez and Novo (J Optim Theory Appl 171:70--89, 2016), the authors introduced the so-called approximate Karush-Kuhn-Tucker (AKKT) condition for smo…

math.OC2017

Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions

Yi-Bin Xiao, Nguyen Van Tuyen, Ching-Feng Wen +1

In the present paper, we are concerned with a class of constrained vector optimization problems, where the objective functions and active constraint functions are locally Lipschitz…