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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제3호
- 발행연도
- 2015.1
- 수록면
- 235 - 246 (12page)
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초록· 키워드
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In this paper, a vector optimization problem over cones is considered, where the functions involved are $\eta$-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using the concepts of cone $\rho$-semilocally preinvex, cone $\rho$-semilocally quasi-preinvex and cone $\rho$-semilocally pseudo-preinvex functions.
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참고문헌 (13)
참고문헌 신청
G. M. Ewing / 1977 / Sufficient conditions for global minima of suitable convex functional from variational and control theory / SIAM Review 19:202~220
R. N. Kaul. / 1982 / Generalization of convex and related functions / European Journal of Operational Research 9:369~377
R. N. Kaul. / 1982 / Sufficient optimality conditions using generalized convex functions / Opsearch 19:212~224
R.N. Kaul / 1984 / Generalized convex functions, properties, optimality and duality, Technical Report :84~94
V. Preda / 2003 / Optimality and duality in fractional multiobjective programming involving semilocally preinvex and related functions / Journal of Mathematical Analysis and Applications 288:365~382
R. N. Kaul. / 1982 / Generalization of convex and related functions / European Journal of Operational Research 9:369~377
R. N. Kaul. / 1982 / Sufficient optimality conditions using generalized convex functions / Opsearch 19:212~224
R.N. Kaul / 1984 / Generalized convex functions, properties, optimality and duality, Technical Report :84~94
V. Preda / 2003 / Optimality and duality in fractional multiobjective programming involving semilocally preinvex and related functions / Journal of Mathematical Analysis and Applications 288:365~382
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