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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제1호
- 발행연도
- 2017.1
- 수록면
- 147 - 163 (17page)
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In this paper, we establish the necessary and sufficient Karush-Kuhn-Tucker (KKT) conditions for an optimization problem with difference of set-valued maps under generalized cone convexity assumptions. We also study the duality results of Mond-Weir (MW D), Wolfe (W D) and mixed (Mix D) types for the weak solutions of the problem (P).
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참고문헌 (15)
참고문헌 신청
J. Baier / 1999 / On subdifferentials of set-valued maps / J. Optim. Theory Appl 100:233~240
J. Borwein / 1977 / Multivalued convexity and optimization: a unified approach to inequality and equality constraints / Math. Program 13:183~199
J.M. Borwein / 1981 / A lagrange multiplier theorem and a sandwich theorem for convex relations / Math. Scand 48:189~204
K. Das / 2014 / Sufficient optimality conditions and duality theorems for set-valued optimization problem under generalized cone convexity / Rendiconti del Circolo Matematico di Palermo (1952 -) 63:329~345
K. Das / 2015 / Sufficiency and duality of set-valued optimization problems via higher-order contingent derivative / J. Adv. Math. Stud 8:137~151
J. Borwein / 1977 / Multivalued convexity and optimization: a unified approach to inequality and equality constraints / Math. Program 13:183~199
J.M. Borwein / 1981 / A lagrange multiplier theorem and a sandwich theorem for convex relations / Math. Scand 48:189~204
K. Das / 2014 / Sufficient optimality conditions and duality theorems for set-valued optimization problem under generalized cone convexity / Rendiconti del Circolo Matematico di Palermo (1952 -) 63:329~345
K. Das / 2015 / Sufficiency and duality of set-valued optimization problems via higher-order contingent derivative / J. Adv. Math. Stud 8:137~151
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