논문KCI 등재
On Weakly Efficient Solutions for Second-Order Cone Linear Fractional Vector Optimization Problems
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In this paper, we consider a linear fractional vector optimization problem under a second-order cone constraint,and obtain sequential optimality theorems for weakly efficient solutions for (FVP) which hold without any constraint qualification. Moreover, we formulate a vector dual problem (VD) for (FVP) and establish duality theorems for (FVP) and (VD).
Abstract
In this paper, we consider a linear fractional vector optimization problem under a second-order cone constraint,and obtain sequential optimality theorems for weakly efficient solutions for (FVP) which hold without any constraint qualification. Moreover, we formulate a vector dual problem (VD) for (FVP) and establish duality theorems for (FVP) and (VD).
관련 논문AI추천
Sequential optimality theorems for second-order cone linear fractional vector optimization problems김문희영남수학회 · East Asian Mathematical Journal2023 · 제39권 제5호On Optimality Theorems for Semidefinite Linear Vector Optimization Problems김문희영남수학회 · East Asian Mathematical Journal2021 · 제37권 제5호Optimality Conditions and Duality in Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호Proper efficiency for set-valued optimization problems and vector variational-like inequalitiesDao-Jun Wen, Jing Quan, Xian Jun Long대한수학회 · 대한수학회보2013 · 제50권 제3호On Optimality and Duality for Generalized Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Optimality and Duality for Nonsmooth Fractional Robust Optimization Problems with $(V, \rho)$-Invexity김문희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호
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