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Sequential optimality theorems for second-order cone linear fractional vector optimization problems

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영남수학회 (Youngnam Mathematical Society)|2023.09|East Asian Mathematical Journal|제39권 제5호|pp. 505-514

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참고문헌

키워드

properly efficient solutionsefficient solutionsoptimality theorems.
주제분류수학

초록

In this paper, we consider a second-order cone linear frac- tional vector optimization problems (FVP), and obtain sequential opti- mality theorems for (FVP) which hold without any constraint qualification and which are expressed by sequences.

Abstract

In this paper, we consider a second-order cone linear frac- tional vector optimization problems (FVP), and obtain sequential opti- mality theorems for (FVP) which hold without any constraint qualification and which are expressed by sequences.

참고문헌 (14)

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  9. J. Jeyakumar, "New sequential Lagrange multiplier conditions characterizing optimality without constraint qualification for convex programs", SIAM J. Optim., 14, pp.534~547 (2003)
  10. V. Jeyakumar, "Necessary and sufficient conditions for Farkas’Lemma for cone systems and second-order cone programming duality", J. Convex Anal, 15, pp.63~71 (2008)
  11. M.H. Kim, "On efficient solutions for semidefinite linear fractional vector optimization problems", Minimax Theory and its Applications
  12. M. H. Kim, "On weakly efficient solutions for semidefinite linear fractional vector optimization problems", J. Nonlinear and Convex Anal
  13. G.Y. Li, "Robust conjugate duality for convex optimization under uncertainty with application to data classification", Nonlinear Anal., 74, pp.2327~2341 (2011)
  14. Y. Sawaragi, "Theory of Multiobjective Optimization" (1985), Academic Press Inc

관련 논문AI추천

On Weakly Efficient Solutions for Second-Order Cone Linear Fractional Vector Optimization Problems김문희영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호On Optimality Theorems for Semidefinite Linear Vector Optimization Problems김문희영남수학회 · East Asian Mathematical Journal2021 · 제37권 제5호Proper efficiency for set-valued optimization problems and vector variational-like inequalitiesDao-Jun Wen, Jing Quan, Xian Jun Long대한수학회 · 대한수학회보2013 · 제50권 제3호Solutions of vector variational inequality problemsSalahuddin강원경기수학회 · 한국수학논문집2018 · 제26권 제2호Optimality Conditions and Duality in Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호On Optimality and Duality for Generalized Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호

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